  This contribution deals with our recent study of antibaryon interactions with
the nuclear medium within the relativistic mean-field approach using antibaryon
coupling constants consistent with available experimental data. We performed
calculations of $\bar{B}$ ($\bar{B}=\bar{p}, \bar{\Lambda}, \bar{\Sigma},
\bar{\Xi}$) bound states in selected nuclei. Due to the lack of information on
the in-medium antihyperon annihilation near threshold only the $\bar{p}$
absorption was considered. It was described by the imaginary part of a
phenomenological optical potential fitted to $\bar{p}$-atom data. The
annihilation was treated dynamically, taking into account explicitly the
reduced phase space for annihilation products in the nuclear medium, as well as
the compressed nuclear density due to the antiproton. The energy available for
the annihilation products was evaluated self-consistently, considering
additional energy shift due to particle momenta in the ${\bar p}$-nucleus
system. Corresponding $\bar{p}$ widths were significantly reduced, however,
they still remain sizable. Next, the $\bar{p}$-nucleus interaction was
constructed using the latest version of the Paris $\bar{N}N$ potential. Related
scattering amplitudes were used to define the complex $\bar{p}$ optical
potential in the nuclear medium. The resulting $\bar{p}$ $1s$ binding energies
are about 10% smaller and widths about 20% larger than those obtained with the
phenomenological approach.
