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Low-energy theorems for neutron-proton scattering in $χ$EFT using a perturbative power counting

Published 15 Mar 2024 in nucl-th | (2403.10292v2)

Abstract: Low-energy theorems (LETs) for effective-range parameters in nucleon-nucleon scattering encode properties of the long-range part of the nuclear force. We compute LETs for S-wave neutron-proton scattering using chiral effective field theory with a modified version of Weinberg power counting. Corrections to the leading order amplitude are included in distorted-wave perturbation theory and we incorporate contributions up to the third order in the power counting. We find that LETs in the $1S_0$ and $3S_1$ partial waves agree well with empirical effective-range parameters. At the same time, phase shifts up to laboratory scattering energies of about 100 MeV can be reproduced. We show that it is important to consider the pion mass splitting in the one-pion exchange potential in the $1S_0$ partial wave while the effect is negligible in the $3S_1$ partial wave. We conclude that pion exchanges, as treated in this power counting, accurately describe the long-range part of the $S$-wave nuclear interaction.

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Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. 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Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Machleidt, D.R. Entem, Chiral effective field theory and nuclear forces. Phys. 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C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. 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Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. 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Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. 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Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. 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Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C. Ordonez, L. Ray, U. van Kolck, Nucleon-nucleon potential from an effective chiral Lagrangian. Phys. Rev. Lett. 72, 1982–1985 (1994). 10.1103/PhysRevLett.72.1982 (11) D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. 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Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. 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Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. 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Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Hammer, S. König, U. van Kolck, Nuclear effective field theory: status and perspectives. Rev. Mod. Phys. 92(2), 025,004 (2020). 10.1103/RevModPhys.92.025004. arXiv:1906.12122 [nucl-th] (8) C. Ordonez, L. Ray, U. van Kolck, The Two nucleon potential from chiral Lagrangians. Phys. Rev. C 53, 2086–2105 (1996). 10.1103/PhysRevC.53.2086. arXiv:hep-ph/9511380 (9) U. van Kolck, Few nucleon forces from chiral Lagrangians. Phys. Rev. C 49, 2932–2941 (1994). 10.1103/PhysRevC.49.2932 (10) C. Ordonez, L. Ray, U. van Kolck, Nucleon-nucleon potential from an effective chiral Lagrangian. Phys. Rev. Lett. 72, 1982–1985 (1994). 10.1103/PhysRevLett.72.1982 (11) D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. 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Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. 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Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, Few nucleon forces from chiral Lagrangians. Phys. Rev. C 49, 2932–2941 (1994). 10.1103/PhysRevC.49.2932 (10) C. Ordonez, L. Ray, U. van Kolck, Nucleon-nucleon potential from an effective chiral Lagrangian. Phys. Rev. Lett. 72, 1982–1985 (1994). 10.1103/PhysRevLett.72.1982 (11) D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. C 92(6), 064,001 (2015). 10.1103/PhysRevC.92.064001. arXiv:1505.03562 [nucl-th] (12) P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. 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C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. 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C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory. Phys. Rev. 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A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. 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Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. 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Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Reinert, H. Krebs, E. Epelbaum, Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018). 10.1140/epja/i2018-12516-4. arXiv:1711.08821 [nucl-th] (13) E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064,001 (2002). 10.1103/PhysRevC.66.064001. arXiv:nucl-th/0208023 (14) G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. Nature Phys. 12(2), 186–190 (2015). 10.1038/nphys3529. arXiv:1509.07169 [nucl-th] (15) P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A. Nogga, W. Gloeckle, H. Kamada, U.G. Meissner, H. Witala, Three nucleon forces from chiral effective field theory. Phys. Rev. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 G. Hagen, et al., Neutron and weak-charge distributions of the 4848{}^{48}start_FLOATSUPERSCRIPT 48 end_FLOATSUPERSCRIPTCa nucleus. 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Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. 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C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. 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C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 P. Arthuis, C. Barbieri, M. Vorabbi, P. Finelli, A⁢b⁢I⁢n⁢i⁢t⁢i⁢o𝐴𝑏𝐼𝑛𝑖𝑡𝑖𝑜AbInitioitalic_A italic_b italic_I italic_n italic_i italic_t italic_i italic_o Computation of Charge Densities for Sn and Xe Isotopes. Phys. Rev. Lett. 125(18), 182,501 (2020). 10.1103/PhysRevLett.125.182501. arXiv:2002.02214 [nucl-th] (16) B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Hu, et al., Ab initio predictions link the neutron skin of 208208{}^{208}start_FLOATSUPERSCRIPT 208 end_FLOATSUPERSCRIPTPb to nuclear forces. Nature Phys. 18(10), 1196–1200 (2022). 10.1038/s41567-022-01715-8. arXiv:2112.01125 [nucl-th] (17) A. Nogga, R.G.E. Timmermans, U. van Kolck, Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054,006 (2005). 10.1103/PhysRevC.72.054006. arXiv:nucl-th/0506005 (18) U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. 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Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. 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A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 U. van Kolck, The Problem of Renormalization of Chiral Nuclear Forces. Front. in Phys. 8, 79 (2020). 10.3389/fphy.2020.00079. arXiv:2003.06721 [nucl-th] (19) B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. 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C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. 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C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. 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PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, U. van Kolck, Renormalization of Singular Potentials and Power Counting. Annals Phys. 323, 1304–1323 (2008). 10.1016/j.aop.2008.01.003. arXiv:0707.4325 [quant-ph] (20) S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. 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Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.R. Beane, P.F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck, Singular potentials and limit cycles. Phys. Rev. A 64, 042,103 (2001). 10.1103/PhysRevA.64.042103. URL https://link.aps.org/doi/10.1103/PhysRevA.64.042103 (21) E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. 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C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. 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Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, How (not) to renormalize integral equations with singular potentials in effective field theory. Eur. Phys. J. A 54(11), 186 (2018). 10.1140/epja/i2018-12632-1. arXiv:1810.02646 [nucl-th] (22) D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, A New expansion for nucleon-nucleon interactions. Phys. Lett. B 424, 390–396 (1998). 10.1016/S0370-2693(98)00210-X. arXiv:nucl-th/9801034 (23) D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D.B. Kaplan, M.J. Savage, M.B. Wise, Two nucleon systems from effective field theory. Nucl. Phys. B 534, 329–355 (1998). 10.1016/S0550-3213(98)00440-4. arXiv:nucl-th/9802075 (24) S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S. Fleming, T. Mehen, I.W. Stewart, NNLO corrections to nucleon-nucleon scattering and perturbative pions. Nucl. Phys. A 677, 313–366 (2000). 10.1016/S0375-9474(00)00221-9. arXiv:nucl-th/9911001 (25) T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 T.D. Cohen, J.M. Hansen, Testing low-energy theorems in nucleon-nucleon scattering. Phys. Rev. C 59, 3047–3051 (1999). 10.1103/PhysRevC.59.3047. arXiv:nucl-th/9901065 (26) V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. C 48, 792–815 (1993). 10.1103/PhysRevC.48.792 (27) R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. 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A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV. Phys. Rev. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties. J. Phys. G 43(11), 114,001 (2016). 10.1088/0954-3899/43/11/114001. arXiv:1410.8097 [nucl-th] (28) S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. 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C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 S.I. Ando, C.H. Hyun, Effective range corrections from effective field theory with di-baryon fields and perturbative pions. Phys. Rev. C 86, 024,002 (2012). 10.1103/PhysRevC.86.024002. arXiv:1112.2456 [nucl-th] (29) M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. 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PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Renormalization of singlet N N scattering with one pion exchange and boundary conditions. Phys. Lett. B 580, 149–156 (2004). 10.1016/j.physletb.2003.11.037. arXiv:nucl-th/0306069 (30) E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Glockle, U.G. Meissner, The Two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005). 10.1016/j.nuclphysa.2004.09.107. arXiv:nucl-th/0405048 (31) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 2. Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). 10.1140/epja/i2003-10129-8. arXiv:nucl-th/0308010 (32) E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Regularization, renormalization and ’peratization’ in effective field theory for two nucleons. Eur. Phys. J. A 41, 341–354 (2009). 10.1140/epja/i2009-10833-3. arXiv:0906.3822 [nucl-th] (33) V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. 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C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses. Phys. Rev. C 92(1), 014,001 (2015). 10.1103/PhysRevC.92.014001. arXiv:1504.07852 [nucl-th] (34) V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. 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B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 V. Baru, E. Epelbaum, A.A. Filin, Low-energy theorems for nucleon-nucleon scattering at Mπ=450subscript𝑀𝜋450M_{\pi}=450italic_M start_POSTSUBSCRIPT italic_π end_POSTSUBSCRIPT = 450 MeV. Phys. Rev. C 94(1), 014,001 (2016). 10.1103/PhysRevC.94.014001. arXiv:1604.02551 [nucl-th] (35) B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Short-range nuclear forces in singlet channels. Phys. Rev. C 86, 024,001 (2012). 10.1103/PhysRevC.86.024001. arXiv:1202.4053 [nucl-th] (36) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. 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C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: A case study of P03superscriptsubscript𝑃03{}^{3}\phantom{\rule{-1.60004pt}{0.0pt}}{P}_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  36. Phys. Rev. C 84, 057,001 (2011). 10.1103/PhysRevC.84.057001. URL https://link.aps.org/doi/10.1103/PhysRevC.84.057001 (37) B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 B. Long, C.J. Yang, Renormalizing chiral nuclear forces: Triplet channels. Phys. Rev. C 85, 034,002 (2012). 10.1103/PhysRevC.85.034002. URL https://link.aps.org/doi/10.1103/PhysRevC.85.034002 (38) O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, E. May, A. Ekström, C. Forssén, Bayesian analysis of chiral effective field theory at leading order in a modified Weinberg power counting approach. Phys. Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Rev. C 108(5), 054,002 (2023). 10.1103/PhysRevC.108.054002. arXiv:2302.12624 [nucl-th] (39) O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. 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[Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 O. Thim, A. Ekström, C. Forssén, Perturbative computations of neutron-proton scattering observables using renormalization-group invariant χ𝜒\chiitalic_χEFT up to N33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPTLO (2024). arXiv:2402.15325 [nucl-th] (40) C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 C.J. Yang, A. Ekström, C. Forssén, G. Hagen, Power counting in chiral effective field theory and nuclear binding. Phys. Rev. C 103(5), 054,304 (2021). 10.1103/PhysRevC.103.054304. arXiv:2011.11584 [nucl-th] (41) A. Ekström, et al., Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order. Phys. Rev. Lett. 110(19), 192,502 (2013). 10.1103/PhysRevLett.110.192502. arXiv:1303.4674 [nucl-th] (42) M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. 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Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. 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PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.R. Schindler, D.R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories. Annals Phys. 324, 682–708 (2009). 10.1016/j.aop.2008.09.003. [Erratum: Annals Phys. 324, 2051–2055 (2009)]. arXiv:0808.3643 [hep-ph] (43) R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R.J. Furnstahl, D.R. Phillips, S. Wesolowski, A recipe for EFT uncertainty quantification in nuclear physics. J. Phys. G 42(3), 034,028 (2015). 10.1088/0954-3899/42/3/034028. arXiv:1407.0657 [nucl-th] (44) H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. 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B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.W. Grießhammer, Assessing Theory Uncertainties in EFT Power Countings from Residual Cutoff Dependence. PoS CD15, 104 (2016). 10.22323/1.253.0104. arXiv:1511.00490 [nucl-th] (45) E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. 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Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, J. Gegelia, Weinberg’s approach to nucleon–nucleon scattering revisited. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. 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B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. 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Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  45. Phys. Lett. B 716, 338–344 (2012). 10.1016/j.physletb.2012.08.025. arXiv:1207.2420 [nucl-th] (46) E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, A.M. Gasparyan, J. Gegelia, H. Krebs, 11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPTS00{}_{0}start_FLOATSUBSCRIPT 0 end_FLOATSUBSCRIPT nucleon-nucleon scattering in the modified Weinberg approach. Eur. Phys. J. A 51(6), 71 (2015). 10.1140/epja/i2015-15071-6. arXiv:1501.01191 [nucl-th] (47) L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Ground-state properties of 44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPTHe and 1616{}^{16}start_FLOATSUPERSCRIPT 16 end_FLOATSUPERSCRIPTO extrapolated from lattice QCD with pionless EFT. Phys. Lett. B 772, 839–848 (2017). 10.1016/j.physletb.2017.07.048. arXiv:1701.06516 [nucl-th] (48) D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 D. Siemens, J. Ruiz de Elvira, E. Epelbaum, M. Hoferichter, H. Krebs, B. Kubis, U.G. Meißner, Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Phys. Lett. B 770, 27–34 (2017). 10.1016/j.physletb.2017.04.039. arXiv:1610.08978 [nucl-th] (49) R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 R. Peng, S. Lyu, B. Long, Perturbative chiral nucleon–nucleon potential for the P03superscriptsubscript𝑃03{}^{3}P_{0}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT italic_P start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT partial wave. Commun. Theor. Phys. 72(9), 095,301 (2020). 10.1088/1572-9494/aba251. arXiv:2011.13186 [nucl-th] (50) M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. A 158, 1–42 (1970). 10.1016/0375-9474(70)90047-3 (51) W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. 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Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.I. Haftel, F. Tabakin, Nuclear saturation and the smoothness of nucleon-nucleon potentials. Nucl. Phys. 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Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 W. Glöckle, The Quantum Mechanical Few-body Problem (Springer-Verlag, Berlin Heidelberg, 1983) (52) J.R. Taylor, Scattering Theory: The quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972) (53) M. Pavon Valderrama, E. Ruiz Arriola, Low-energy NN scattering at next-to-next-to-next-to-next-to-leading order for partial waves with j ≤\leq≤ 5. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. 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  53. Phys. Rev. C 72, 044,007 (2005). 10.1103/PhysRevC.72.044007 (54) J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 J.M. Blatt, L.C. Biedenharn, The Angular Distribution of Scattering and Reaction Cross Sections. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  54. Rev. Mod. Phys. 24, 258–272 (1952). 10.1103/RevModPhys.24.258 (55) M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  55. M.C. Birse, Deconstructing S01superscriptsubscript𝑆01{}^{1}S_{0}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT italic_S start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT nucleon-nucleon scattering. Eur. Phys. J. A 46, 231–240 (2010). 10.1140/epja/i2010-11034-9. arXiv:1007.0540 [nucl-th] (56) E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 E. Epelbaum, W. Gloeckle, U.G. Meissner, Improving the convergence of the chiral expansion for nuclear forces. 1. Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  56. Eur. Phys. J. A 19, 125–137 (2004). 10.1140/epja/i2003-10096-0. arXiv:nucl-th/0304037 (57) H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302 H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phase shift analysis of 310-MeV proton proton scattering experiments. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
  57. Phys. Rev. 105, 302–310 (1957). 10.1103/PhysRev.105.302
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