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We investigate the charmed baryon production reaction$p\bar{p}\rightarrow\Lambda_c\bar{\Lambda}_c$ in an effective Lagrangianapproach. Besides the $t$-channel $D^0$ and $D^{*0}$ mesons exchanges, the$s$-channel $Y(4630)$ meson exchange is taken into account. For the total crosssections, the $D^0$ and $D^{*0}$ mesons provide minor background contributions,while the $Y(4630)$ state gives a clear peak structure with the magnitude of 10$\mu$b at center of mass energy 4.63 GeV. Basing on the results, we suggestthat the reaction of $p\bar{p}\rightarrow\Lambda_c\bar{\Lambda}_c$ can be usedto search for the $1^{--}$ charmonium-like $Y(4630)$ state, and our predictionscan be tested in future by the $\rm{\bar PANDA}$ facility.

Role of $Y(4630)$ in the $p\bar{p}\rightarrow\Lambda_c\bar{\Lambda}_c$ reaction near threshold