  We performed fully self-consistent calculations of $\bar{p}$-nuclear bound
states within the relativistic mean-field (RMF) model. The G-parity motivated
$\bar{p}$-meson coupling constants were adjusted to yield potentials consistent
with $\bar{p}$-atom data. We confirmed large polarization effects of the
nuclear core caused by the presence of the antiproton. The $\bar{p}$ absorption
in the nucleus was incorporated by means of the imaginary part of a
phenomenological optical potential. The phase space reduction for the $\bar{p}$
annihilation products was taken into account. The corresponding $\bar{p}$ width
in the medium significantly decreases, however, it still remains considerable
for the $\bar{p}$ potential consistent with experimental data.
