  We report on self-consistent calculations of $\bar{p}$ quasi-bound states in
selected nuclei performed within the relativistic mean-field (RMF) model
employing $\bar{p}$ coupling constants tuned to reproduce $\bar{p}$-atom data.
We confirmed considerable polarization of the nuclear core induced by the
antiproton. The $\bar{p}$ annihilation was treated dynamically, taking into
account the reduced phase space in the nuclear medium as well as the compressed
nuclear density. 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. Next, we constructed the
$\bar{p}$-nucleus optical potential using scattering amplitudes related to the
latest version of the Paris $\bar{N}N$ potential. We explored energy dependence
of the potential and the implications for $\bar{p}$-nucleus quasi-bound states.
