Separable Representation of Proton-Nucleus Optical Potentials

Abstract

Recently, a new approach for solving the three-body problem for (d,p) reactions in the Coulomb-distorted basis in momentum space was proposed. Important input quantities for such calculations are the scattering matrix elements for proton- and neutron-nucleus scattering. We present a generalization of the Ernst-Shakin-Thaler scheme in which a momentum space separable representation of proton-nucleus scattering matrix elements can be calculated in the Coulomb basis. The viability of this method is demonstrated by comparing S-matrix elements obtained for p${+}^{48}$Ca and p${+}^{208}$Pb for a phenomenological optical potential with corresponding coordinate space calculations.

5 pages, 3 figures

References in corpus (1)

• Three-body Faddeev-Alt-Grassberger-Sandhas approach to direct nuclear reactions

Cited by in corpus (2)

• ${}^6$Li in a Three-Body Model with Realistic Forces: Separable vs. Non-separable Approach
• Separable Optical Potentials for (d,p) Reactions