  In the present work we explore the production potential of
$\Lambda_c(2880)^+$ at PANDA. With the $J^P=\frac{5}{2}^+$ assignment to
$\Lambda_c(2880)^+$, we calculate the differential and total cross sections of
$p\bar{p}\to \Lambda_c^-\Lambda_c(2880)^+$. We also perform the Dalitz plot
analysis and give the $pD^0$ invariant mass spectrum distribution of the
process $p\bar{p}\to \Lambda_c^-pD^0$, where the signal and background
contributions are considered. Our numerical results indicate that the
production of $\Lambda_c(2880)^+$ may reach up to about 20 $\mu$b. About $10^7$
events from the reconstruction of $pD^0$ can be accumulated per day, if taking
the designed luminosity ($2\times10^{32}~\mbox{cm}^{-2}\mbox{s}^{-1}$) of
PANDA.
