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We investigate the asymptotic separation of the optical model potential fornucleon-nucleus scattering in momentum space, where the potential is split intoa medium-independent term and another depending exclusively on the gradient ofthe density-dependent g matrix. This decomposition confines the mediumsensitivity of the nucleon-nucleus coupling to the surface of the nucleus. Weexamine this feature in the context of proton-nucleus scattering at beamenergies between 30 and 100 MeV and find that the pn coupling accounts for mostof this sensitivity. Additionally, based on this general structure of theoptical potential we are able to treat both, the medium dependence of theeffective interaction and the full mixed density as described bysingle-particle shell models. The calculated scattering observables agreewithin 10% with those obtained by Arellano, Brieva and Love in theirmomentum-space g-folding approach.

Surface-peaked medium effects in the interaction of nucleons with finite nuclei