Evidence for heavy seed origin of early supermassive black holes from a z~10 X-ray quasar
Abstract: Observations of quasars reveal that many supermassive black holes (BHs) were in place less than 700 million years after the Big Bang. However, the origin of the first BHs remains a mystery. Seeds of the first BHs are postulated to be either light (i.e., $10-100~\rm{M_{\odot}})$, remnants of the first stars or heavy (i.e., $104-105~\rm{M_{\odot}})$, originating from the direct collapse of gas clouds. Harnessing recent data from the Chandra X-ray Observatory, we report the detection of an X-ray-luminous massive BH in a gravitationally-lensed galaxy identified by JWST at $z\approx10.3$ behind the cluster lens Abell 2744. This heavily-obscured quasar with a bolometric luminosity of $L_{\rm bol}\sim5\times10{45}~\rm{erg\ s{-1}}$ harbors a $M_{\rm BH}\sim107-108~\rm{M_{\odot}}$ BH assuming accretion at the Eddington limit. This mass is comparable to the inferred stellar mass of its host galaxy, in contrast to what is found in the local Universe wherein the BH mass is $\sim0.1\%$ of the host galaxy's stellar mass. The combination of such a high BH mass and large BH-to-galaxy stellar mass ratio just $\sim$500 Myrs after the Big Bang was theoretically predicted and is consistent with a picture wherein BHs originated from heavy seeds.
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(2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. 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(2023) Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. MNRAS 519(2), 1837–1855 (2023) https://doi.org/10.1093/mnras/stac3608 arXiv:2204.10330 [astro-ph.GA] Massonneau et al. (2022) Massonneau, W., Volonteri, M., Dubois, Y., Beckmann, R.S.: How the super-Eddington regime regulates black hole growth in high-redshift galaxies. arXiv e-prints, 2201–08766 (2022) https://doi.org/10.48550/arXiv.2201.08766 arXiv:2201.08766 [astro-ph.GA] Eilers et al. (2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. 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ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. 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(2023) Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. MNRAS 519(2), 1837–1855 (2023) https://doi.org/10.1093/mnras/stac3608 arXiv:2204.10330 [astro-ph.GA] Massonneau et al. (2022) Massonneau, W., Volonteri, M., Dubois, Y., Beckmann, R.S.: How the super-Eddington regime regulates black hole growth in high-redshift galaxies. arXiv e-prints, 2201–08766 (2022) https://doi.org/10.48550/arXiv.2201.08766 arXiv:2201.08766 [astro-ph.GA] Eilers et al. (2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. 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ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. 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(2023) Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. MNRAS 519(2), 1837–1855 (2023) https://doi.org/10.1093/mnras/stac3608 arXiv:2204.10330 [astro-ph.GA] Massonneau et al. (2022) Massonneau, W., Volonteri, M., Dubois, Y., Beckmann, R.S.: How the super-Eddington regime regulates black hole growth in high-redshift galaxies. arXiv e-prints, 2201–08766 (2022) https://doi.org/10.48550/arXiv.2201.08766 arXiv:2201.08766 [astro-ph.GA] Eilers et al. (2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. 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ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. (2016) Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. 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(2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. (2016) Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. (2022) Bogdán, Á., Kovács, O.E., Jones, C., Forman, W.R., Kraft, R.P., Strait, V., Coe, D., Bradač, M.: Exploring Gravitationally Lensed z ≳greater-than-or-equivalent-to\gtrsim≳ 6 X-Ray Active Galactic Nuclei Behind the RELICS Clusters. ApJ 927(1), 34 (2022) https://doi.org/10.3847/1538-4357/ac4ae5 arXiv:2111.03669 [astro-ph.GA] Vazza et al. (2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. 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(2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. (2016) Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. 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(2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. (2016) Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. (2022) Bogdán, Á., Kovács, O.E., Jones, C., Forman, W.R., Kraft, R.P., Strait, V., Coe, D., Bradač, M.: Exploring Gravitationally Lensed z ≳greater-than-or-equivalent-to\gtrsim≳ 6 X-Ray Active Galactic Nuclei Behind the RELICS Clusters. ApJ 927(1), 34 (2022) https://doi.org/10.3847/1538-4357/ac4ae5 arXiv:2111.03669 [astro-ph.GA] Vazza et al. (2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. 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(2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. (2016) Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. 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(2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. ApJ 825(1), 7 (2016) https://doi.org/10.3847/0004-637X/825/1/7 arXiv:1604.06461 [astro-ph.GA] Vito et al. 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(2023) Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. MNRAS 519(2), 1837–1855 (2023) https://doi.org/10.1093/mnras/stac3608 arXiv:2204.10330 [astro-ph.GA] Massonneau et al. (2022) Massonneau, W., Volonteri, M., Dubois, Y., Beckmann, R.S.: How the super-Eddington regime regulates black hole growth in high-redshift galaxies. arXiv e-prints, 2201–08766 (2022) https://doi.org/10.48550/arXiv.2201.08766 arXiv:2201.08766 [astro-ph.GA] Eilers et al. (2017) Eilers, A.-C., Davies, F.B., Hennawi, J.F., Prochaska, J.X., Lukić, Z., Mazzucchelli, C.: Implications of z ∼similar-to\sim∼ 6 Quasar Proximity Zones for the Epoch of Reionization and Quasar Lifetimes. ApJ 840(1), 24 (2017) https://doi.org/10.3847/1538-4357/aa6c60 arXiv:1703.02539 [astro-ph.GA] Chen and Gnedin (2021) Chen, H., Gnedin, N.Y.: The Distribution and Evolution of Quasar Proximity Zone Sizes. ApJ 911(1), 60 (2021) https://doi.org/10.3847/1538-4357/abe7e7 arXiv:2008.04911 [astro-ph.CO] Cash (1979) Cash, W.: Parameter estimation in astronomy through application of the likelihood ratio. ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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(2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Di Matteo, T., Angles-Alcazar, D., Shankar, F.: Massive black holes in galactic nuclei: Theory and Simulations. arXiv e-prints, 2304–11541 (2023) https://doi.org/10.48550/arXiv.2304.11541 arXiv:2304.11541 [astro-ph.HE] Di Matteo et al. (2017) Di Matteo, T., Croft, R.A.C., Feng, Y., Waters, D., Wilkins, S.: The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. MNRAS 467(4), 4243–4251 (2017) https://doi.org/10.1093/mnras/stx319 arXiv:1606.08871 [astro-ph.GA] Alvarez et al. (2009) Alvarez, M.A., Wise, J.H., Abel, T.: Accretion onto the First Stellar-Mass Black Holes. ApJ 701(2), 133–137 (2009) https://doi.org/10.1088/0004-637X/701/2/L133 arXiv:0811.0820 [astro-ph] Kim et al. (2011) Kim, J.-H., Wise, J., Alvarez, M., Abel, T.: Galaxy formation with self-consistently modeled stars and massive black holes. i: Feedback-regulated star formation and black hole growth. Astrophysical Journal - ASTROPHYS J 738 (2011) https://doi.org/10.1088/0004-637X/738/1/54 Jiang et al. (2019) Jiang, Y.-F., Stone, J.M., Davis, S.W.: Super-Eddington Accretion Disks around Supermassive Black Holes. ApJ 880(2), 67 (2019) https://doi.org/10.3847/1538-4357/ab29ff arXiv:1709.02845 [astro-ph.HE] Regan et al. (2019) Regan, J.A., Downes, T.P., Volonteri, M., Beckmann, R., Lupi, A., Trebitsch, M., Dubois, Y.: Super-Eddington accretion and feedback from the first massive seed black holes. MNRAS 486(3), 3892–3906 (2019) https://doi.org/10.1093/mnras/stz1045 arXiv:1811.04953 [astro-ph.GA] Sassano et al. (2023) Sassano, F., Capelo, P.R., Mayer, L., Schneider, R., Valiante, R.: Super-critical accretion of medium-weight seed black holes in gaseous proto-galactic nuclei. 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ApJ 228, 939–947 (1979) https://doi.org/10.1086/156922 Leccardi and Molendi (2008) Leccardi, A., Molendi, S.: Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton. A&A 486(2), 359–373 (2008) https://doi.org/10.1051/0004-6361:200809538 arXiv:0804.1909 [astro-ph] Owers et al. (2011) Owers, M.S., Randall, S.W., Nulsen, P.E.J., Couch, W.J., David, L.P., Kempner, J.C.: The Dissection of Abell 2744: A Rich Cluster Growing Through Major and Minor Mergers. ApJ 728(1), 27 (2011) https://doi.org/10.1088/0004-637X/728/1/27 arXiv:1012.1315 [astro-ph.CO] Larson et al. (2022) Larson, R.L., Hutchison, T.A., Bagley, M., Finkelstein, S.L., Yung, L.Y.A., Somerville, R.S., Hirschmann, M., Brammer, G., Holwerda, B.W., Papovich, C., Morales, A.M., Wilkins, S.M.: Spectral Templates Optimal for Selecting Galaxies at z ¿ 8 with JWST. arXiv e-prints, 2211–10035 (2022) https://doi.org/10.48550/arXiv.2211.10035 arXiv:2211.10035 [astro-ph.GA] Mineo et al. (2012) Mineo, S., Gilfanov, M., Sunyaev, R.: X-ray emission from star-forming galaxies - I. High-mass X-ray binaries. MNRAS 419(3), 2095–2115 (2012) https://doi.org/10.1111/j.1365-2966.2011.19862.x arXiv:1105.4610 [astro-ph.HE] Mineo et al. (2014) Mineo, S., Gilfanov, M., Lehmer, B.D., Morrison, G.E., Sunyaev, R.: X-ray emission from star-forming galaxies - III. Calibration of the LX𝑋{}_{X}start_FLOATSUBSCRIPT italic_X end_FLOATSUBSCRIPT-SFR relation up to redshift z ≈\approx≈ 1.3. MNRAS 437(2), 1698–1707 (2014) https://doi.org/10.1093/mnras/stt1999 arXiv:1207.2157 [astro-ph.HE] Lehmer et al. (2016) Lehmer, B.D., Basu-Zych, A.R., Mineo, S., Brandt, W.N., Eufrasio, R.T., Fragos, T., Hornschemeier, A.E., Luo, B., Xue, Y.Q., Bauer, F.E., Gilfanov, M., Ranalli, P., Schneider, D.P., Shemmer, O., Tozzi, P., Trump, J.R., Vignali, C., Wang, J.-X., Yukita, M., Zezas, A.: The Evolution of Normal Galaxy X-Ray Emission through Cosmic History: Constraints from the 6 MS Chandra Deep Field-South. 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- Vito, F., Gilli, R., Vignali, C., Brandt, W.N., Comastri, A., Yang, G., Lehmer, B.D., Luo, B., Basu-Zych, A., Bauer, F.E., Cappelluti, N., Koekemoer, A., Mainieri, V., Paolillo, M., Ranalli, P., Shemmer, O., Trump, J., Wang, J.X., Xue, Y.Q.: The deepest X-ray view of high-redshift galaxies: constraints on low-rate black hole accretion. MNRAS 463(1), 348–374 (2016) https://doi.org/10.1093/mnras/stw1998 arXiv:1608.02614 [astro-ph.GA] Bogdán et al. (2022) Bogdán, Á., Kovács, O.E., Jones, C., Forman, W.R., Kraft, R.P., Strait, V., Coe, D., Bradač, M.: Exploring Gravitationally Lensed z ≳greater-than-or-equivalent-to\gtrsim≳ 6 X-Ray Active Galactic Nuclei Behind the RELICS Clusters. ApJ 927(1), 34 (2022) https://doi.org/10.3847/1538-4357/ac4ae5 arXiv:2111.03669 [astro-ph.GA] Vazza et al. (2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Bogdán, Á., Kovács, O.E., Jones, C., Forman, W.R., Kraft, R.P., Strait, V., Coe, D., Bradač, M.: Exploring Gravitationally Lensed z ≳greater-than-or-equivalent-to\gtrsim≳ 6 X-Ray Active Galactic Nuclei Behind the RELICS Clusters. ApJ 927(1), 34 (2022) https://doi.org/10.3847/1538-4357/ac4ae5 arXiv:2111.03669 [astro-ph.GA] Vazza et al. (2013) Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO] Vazza, F., Eckert, D., Simionescu, A., Brüggen, M., Ettori, S.: Properties of gas clumps and gas clumping factor in the intra-cluster medium. MNRAS 429(1), 799–814 (2013) https://doi.org/10.1093/mnras/sts375 arXiv:1211.1695 [astro-ph.CO]
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