Functional medium-dependence of the nonrelativistic optical model potential

Abstract

By examining the structure in momentum and coordinate space of a two-body interaction spherically symmetric in its local coordinate, we demonstrate that it can be disentangled into two distinctive contributions. One of them is a medium-independent and momentum-conserving term, whereas the other is functionally --and exclusively-- proportional to the radial derivative of the reduced matrix element. As example, this exact result was applied to the unabridged optical potential in momentum space, leading to an explicit separation between the medium-free and medium-dependent contributions. The latter does not depend on the strength of the reduced effective interaction but only on its variations with respect to the density. The modulation of radial derivatives of the density enhances the effect in the surface and suppresses it in the saturated volume. The generality of this result may prove to be useful for the study of surface-sensitive phenomena.

11 pages, 5 figures, submitted to Phys. Rev. C

References in corpus (3)

• Consistent Treatment of Propagator Modifications in Elastic Nucleon-Nucleus Scattering within the Spectator Expansion
• Extension of the full-folding optical model for nucleon-nucleus scattering with applications up to 1.5 GeV
• Inclusion of non-spherical components of the Pauli blocking operator in (p,p') reactions

Cited by in corpus (6)

• Optical potentials for the rare-isotope beam era
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Surface-peaked medium effects in the interaction of nucleons with finite nuclei
• On the separability of microscopic optical model potentials and emerging bell-shape Perey-Buck nonlocality
• Reaction cross sections for proton scattering from stable and unstable nuclei based on a microscopic approach
• Light projectile elastic scattering by nuclei described by the Gogny interaction