Self-consistent single-nucleon potential at positive energy produced by semi-realistic interaction and its examination via nucleon-nucleus elastic scattering

Based on the variational principle, self-consistent single-particle (s.p.) potentials at positive energies are discussed, which correspond to the real part of the optical potential as the single folding potential (SFP). The nuclear-matter s.p. potential produced by the semi-realistic nucleonic interaction M3Y-P6, which has links to the bare nucleonic interaction, resembles those extracted from the empirical optical potential Applying M3Y-P6 both to the self-consistent mean-field calculations for the target nucleus and to the SFP for the scattered nucleon, we find that the differential cross-sections of the nucleon-nucleus elastic scattering are reproduced almost comparably to the empirical potentials up to $80\,\mathrm{MeV}$ incident energy. The results demonstrate that the s.p. potential compatible with available experimental data can be derived from a single energy-independent effective interaction in this wide energy range.