Production of charmed baryon $\Lambda_c(2940)^+$ at PANDA

In this work we evaluate the production rate of the charmed baryon $\Lambda_c(2940)^+$ at PANDA. For possible assignments of $\Lambda_c(2940)^+$: $J^P=1/2^\pm$, $3/2^\pm$ and $5/2^\pm$, the total cross section of $p\bar{p}\to \bar{\Lambda}_c \Lambda_c(2940)^+$ is estimated, which may exceed 1 nb. With the designed luminosity ($2\times10^{-32}$cm$^{-2}$/s) of PANDA, our estimate indicates that ten thousand events per day if $\Lambda_c(2940)^+$ is of $J^P=1/2^+$ or $10^8$ per day if it is of $J^P=5/2^+$ can be expected. Those values actually set the lower and upper limits of the $\Lambda_c(2940)^+$ production. In addition, we present the Dalitz plot and carry out a rough background analysis of the $\Lambda_c(2940)^+$ production in the $p\bar{p}\to D^0 p\bar{\Lambda}_c$ and $p\bar{p}\to \Sigma_c^{0,++}\pi^{+,-}\bar{\Lambda}_c$ processes, which would provide valuable information for accurate determination of the $\Lambda_c(2940)^+$ identity.