Calculations of antiproton-nucleus quasi-bound states using the Paris $\bar{N}N$ potential

An optical potential constructed using the $\bar{p}N$ scattering amplitudes derived from the 2009 version of the Paris $\bar{N}N$ potential is applied in calculations of $\bar{p}$ quasi-bound states in selected nuclei across the periodic table. A proper self-consistent procedure for treating energy dependence of the amplitudes in a nucleus appears crucial for evaluating ${\bar p}$bindingenergiesandwidths\mathrm{.}Particularattentionispaidtotheroleof$P$-waveamplitudes\mathrm{.}Whilethe$P$-wave potential nearly does not affect calculated $\bar{p}$ binding energies, it reduces considerably the corresponding widths. The Paris $S$-wave potential supplemented by a phenomenological $P$-wave term yields in dynamical calculations $\bar{p}$ binding energies $B_{\bar{p}}\approx 200$ MeV and widths $\Gamma_{\bar p}\sim~200 - 230$ MeV, which is very close to the values obtained within the RMF model consistent with $\bar{p}$-atom data.