Production of charmed baryon $\Lambda_c(2860)$ via low energy antiproton-proton interaction

In the present work, we study the production problem of the charmed baryon $\Lambda_c(2860)^+$ at $\overline{\mbox{P}}$ANDA. With the $J^P=\frac{3}{2}^+$ assignment to $\Lambda_c(2860)^+$, an effective Lagrangian approach is adopted to calculate the cross section of $p\bar{p} \to \Lambda_c^-\Lambda_c(2860)^+$. The Dalitz plot analysis and the $D^0p$ invariant mass spectrum distribution are also given for the $p\bar{p} \to \Lambda_c^-\Lambda_c(2860)^+ \to \Lambda_c^-pD^0$ process. The numerical results show that the total cross section may reach up to about 10 $\mu$b. With the designed luminosity of $\overline{\mbox{P}}$ANDA ($2\times10^{32}~\mbox{cm}^{-2}\mbox{s}^{-1}$), about $10^8$ $\Lambda_c(2860)$ events can be expected per day by reconstructing the final $pD^0$.