  In this work, we investigate the open-charm decay of
$\psi\to\Lambda_c\bar{\Lambda}_c$ via a hadronic loop mechanism, where $\psi$
is higher vector charmonium above $\Lambda_c\bar{\Lambda}_c$ in $J/\psi$
family. The branching fractions of these vector charmonium states to
$\Lambda_c\bar{\Lambda}_c$ are estimated. Our numerical results support the
charmonium explanation of $Y(4630)$ observed in $e^+e^- \to
\Lambda_c\bar{\Lambda}_c$. Furthermore, for the predicted higher vector
charmonia above 4.7 GeV, the branching fractions
$\mathcal{B}[\psi(nS)\to\Lambda_c\bar{\Lambda}_c]$ with $n=7,8,9$ are found to
be of the order of $10^{-4}-10^{-3}$ and
$\mathcal{B}[\psi(mD)\to\Lambda_c\bar{\Lambda}_c]$ with $m=6,7,8$ are of the
order of $10^{-3}-10^{-2}$. The experimental signals of these missing
charmonium states are discussed. The search for them may be an interesting
topic in the future BESIII and BelleII experiments.
