$\Lambda_{c}(2910)$ and $\Lambda_{c}(2940)$ productions in $p \bar{p}$ annihilation

In this work, we investigate the productions of $\Lambda_{c}(2910)$ and $\Lambda_{c}(2940)$ in the $p \bar{p} \rightarrow \bar{\Lambda}_{c} D^{0} p$ process 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. In addition to the $t$-channel $D$ and $D^{\ast}$ exchanges, the contribution from light-meson exchange is also considered. At $\sqrt{s}=10$ $\mathrm{GeV}$, our estimations indicate that the total cross sections for $p \bar{p} \rightarrow \bar{\Lambda}_{c} D^{0} p$ are $(130.7^{+397.1}_{-103.9})$ nb, where the central value is estimated with $\Lambda_{r}=1.1$ GeV, and the uncertainties are resulted from the variation of parameter $\Lambda_{r}$ from 1.0 GeV to 1.2 GeV. Our results indicate that the light meson exchange diagrams are very important, which provide a very large smooth background. Moreover, the estimations of the $D^{0}p$ invariant mass spectrum reveal that the peak structure between 2.9 and 3.0 GeV primarily originates from $\Lambda_c(2910)$, while the signal of $\Lambda_{c}(2940)$ is about one order smaller than that of $\Lambda_{c}(2910)$. Furthermore, the resulting Dalitz plot is estimated with $\sqrt{s}=8$ GeV. It is expected that our estimations in the present work can be tested by future experiments at $\mathrm{\bar{P}ANDA}$.