  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 $.
