  A resonance $Y(4630)$ at the invariant mass spectrum of $\Lambda_c
\bar\Lambda_c$ observed by the Belle Collaboration triggers a hot discussion
about its inner structure. Since it preferably decays into two charmed baryons
$\Lambda_c\bar\Lambda_c$, it is tempted to conjecture it as a tetraquark.
Because the dominant decay portal $Y(4630)\to \Lambda_c \bar\Lambda_c$ is close
to the energy threshold, the final state interactions may be significant and
result in other baryonic and/or mesonic final states whose branching fractions
are sizable to be measured in the future experiments. In this work we calculate
the branching ratios of the $Y(4630)$ decays into $p\bar p$, $D^{(*)+}
D^{(*)-}$, $\pi^+\pi^-$, and $K^+K^-$ which are induced by the $\Lambda_c
\bar\Lambda_c$ re-scattering. The resultant decay patterns will be tested by
the future experiments and the consistency degree with the data composes a
valuable probe for the tetraquark conjecture.
