Functional medium-dependence of the nonrelativistic optical model potential

dc.creatorArellano, H. F.
dc.creatorBauge, Eric
dc.date2007-06-19
dc.date.accessioned2026-07-07T10:36:09Z
dc.date.available2026-07-07T10:36:09Z
dc.descriptionBy 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.
dc.description11 pages, 5 figures, submitted to Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/0706.2695
dc.identifierhttp://arxiv.org/abs/0706.2695
dc.identifierPhys.Rev.C76:014613,2007
dc.identifierdoi:10.1103/PhysRevC.76.014613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179958
dc.subjectNuclear Theory
dc.titleFunctional medium-dependence of the nonrelativistic optical model potential
dc.typetext

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