  With the one-boson-exchange model we have studied the possible existence of
the very loosely bound hidden-charm molecular baryons composed of anti-charmed
meson and charmed baryon. Our numerical results indicate that there exist
$\Sigma_c\bar{D}^*$ states with $I(J^P)=1/2(1/2^-), 1/2(3/2^-), 3/2(1/2^-),
3/2(3/2^-)$ and $\Sigma_c\bar{D}$ state with $3/2(1/2^-)$. But the $\Lambda_c
\bar{D}$ and $\Lambda_c \bar{D}^*$ molecular states do not exist.
