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 (6)

• Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons
• Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction
• Three-body Faddeev-Alt-Grassberger-Sandhas approach to direct nuclear reactions
• Generalized Faddeev equations in the AGS form for deuteron stripping with explicit inclusion of target excitations and Coulomb interaction
• Separable Representation of Phenomenological Optical Potentials of Woods-Saxon Type
• Status of reaction theory for studying rare isotopes

Cited by in corpus (10)

• From bound states to the continuum
• Effects of nonlocality of nuclear potentials on direct capture reactions
• Deuteron-alpha scattering: separable vs nonseparable Faddeev approach
• ${}^6$Li in a Three-Body Model with Realistic Forces: Separable vs. Non-separable Approach
• Separable Representation of Energy-Dependent Optical Potentials
• Quantifying uncertainties due to irreducible three-body forces in deuteron-nucleus reactions
• Properties of a separable representation of optical potentials
• Separable Forces for $(d,p)$ Reactions in Momentum Space
• Separable Potentials for (d,p) Reaction Calculations
• Separable Optical Potentials for (d,p) Reactions