Production of charmed baryon ${\mathrm{\Lambda }}_c(2940{)}^{+}$ at PANDA

In this work we evaluate the production rate of the charmed baryon ${\mathrm{\Lambda }}_c(2940{)}^{+}$ at PANDA. For possible assignments of ${\mathrm{\Lambda }}_c(2940{)}^{+}$: $J^P=1\mathrm{/}{2}^{\pm }$, $3\mathrm{/}{2}^{\pm }$ and $5\mathrm{/}{2}^{\pm }$, 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 ($2\times {10}^{-32}$cm${}^{-2}$/s) of PANDA, our estimate indicates that ten thousand events per day if ${\mathrm{\Lambda }}_c(2940{)}^{+}$ is of $J^P=1\mathrm{/}{2}^{+}$ or ${10}^8$ per day if it is of $J^P=5\mathrm{/}{2}^{+}$ can be expected. Those values actually set the lower and upper limits of the ${\mathrm{\Lambda }}_c(2940{)}^{+}$ production. In addition, we present the Dalitz plot and carry out a rough background analysis of the ${\mathrm{\Lambda }}_c(2940{)}^{+}$ 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 ${\mathrm{\Lambda }}_c(2940{)}^{+}$ identity.