  We investigate the possibility of deuteron-like $\Sigma_c^*\bar{\Sigma}$
bound states within the one-boson-exchange model and systematically analyze the
effects of the contact-range $\delta^{3}(\vec{r}\,)$ potential, the tensor term
from the vector-meson exchange, and nonlocal potentials due to the dependence
on the sum of the initial and final state center-of-mass momenta. We find that
the pion-exchange potential including the $\delta^{3}(\vec{r}\,)$ term and the
tensor term of the $\rho$-exchange potential exhibit comparable magnitudes but
opposite signs for any $S$-wave baryon-antibaryon systems. For the
$\Sigma_c^*\bar{\Sigma}$ system, it is most likely to form bound states with
mass around 3.7 GeV in the $I(J^P)=0(2^-)$ and $1(2^-)$ channels.
