$Λ_{c}(2910)$ and $Λ_{c}(2940)$ productions in $p \bar{p}$ annihilation and $K^{-}p$ scattering processes

Abstract: In this work, we investigate the productions of $\Lambda_{c}(2910)$ and $\Lambda_{c}(2940)$ in the $p \bar{p} \rightarrow \bar{\Lambda}{c} D^{0} p$, $K^{-}p \rightarrow D^{-}{s} D^{0} p$, and $K^{-}p \rightarrow D^{\ast-}_{s} D^{0} p$ processes by utilizing an effective Lagrangian approach, where both $\Lambda_{c}(2910)$ and $\Lambda_{c}(2940)$ are considered as $D^{\ast}N$ molecular states with $J^{P}=1/2^{-}$ and $3/2^{-}$, respectively. The cross sections and $D^0 p$ invariant mass distributions at exemplified center-of-mass energy for the involved processes are estimated. At $\sqrt{s}=10$ $\mathrm{GeV}$, our estimations indicate that the cross sections for $p \bar{p} \rightarrow \bar{\Lambda}{c} D^{0} p$, $K^{-}p \rightarrow D^{-}{s} D^{0} p$, and $K^{-}p \rightarrow D^{\ast-}_{s} D^{0} p$ processes are $(2.1^{+5.6}_{-1.6})$ nb, $(2.2^{+5.9}_{-1.7})$ nb, and $(0.6^{+1.6}_{-0.4})$ nb, respectively, where the uncertainties are resulted from the variation of model parameter. Furthermore, Our estimations of the $D^{0}p$ invariant mass spectra reveal that the peak structure around 2.9 GeV primarily originates from $\Lambda_c(2910)$ across all three processes, however the contributions from $\Lambda_c(2940)$ makes the structure asymmetric. It is expected that the total cross sections and the $D^0 p$ invariant mass distributions estimated in the present work can be tested by future experiments at $\mathrm{\bar{P}ANDA}$ and J-PARC.