Calculations of antiproton–nucleus quasi-bound states using the Paris [formula omitted] potential

Abstract

An optical potential constructed using the p¯N scattering amplitudes derived from the 2009 version of the Paris N¯N potential is applied in calculations of 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 p¯ binding energies and widths. Particular attention is paid to the role of P-wave amplitudes. While the P-wave potential nearly does not affect calculated 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 p¯ binding energies Bp¯≈200 MeV and widths Γp¯∼ 200–230 MeV, which is very close to the values obtained within the RMF model consistent with p¯-atom data.