  In the framework of the heavy baryon perturbation theory, in which the
two-pion exchange is considered, the physical properties of
heavy-baryon-anti-heavy-baryon systems are revisited. The potentials between
heavy-baryon and anti-heavy-baryon are extracted in a holonomic form. Based on
the extracted potentials, the s-wave scattering phase shifts and scattering
lengths of $\Lambda_c$-$\bar{\Lambda}_c$ and $\Sigma_c$-$\bar{\Sigma}_c$ are
calculated. From these scattering features, it is found that the
$\Lambda_c$-$\bar{\Lambda}_c$ system can be bound only when the value of the
coupling constant $g_2$ is larger than that from the decay data of the
$\Sigma_c(\Sigma_c^*) \to \Lambda_c \pi$ process. The binding condition for the
$\Sigma_c$-$\bar{\Sigma}_c$ system is also examined. The binding possibilities
of these systems deduced from the scattering calculations are also checked by
the bound state calculation and the binding energies are obtained if the system
can be really bound. The binding possibility of the
$\Lambda_b$-$\bar{\Lambda}_b$ system is investigated as well.
