Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method

Abstract

A second-order supersymmetric transformation is presented, for the two-channel Schrödinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the eigenphase shifts, and modifies the potential matrix analytically. The iteration of a few such transformations allows a precise fit of realistic mixing parameters in terms of a Pade expansion of both the scattering matrix and the effective-range function. The method is applied to build an exactly-solvable potential for the neutron-proton ${}^3{S}_1$-${}^3{D}_1$ case.

4 pages, 4 figures

References in corpus (4)

• Construction of high-quality Nucleon-Nucleon potential models
• Influence of low energy scattering on loosely bound states
• Phase shift effective range expansion from supersymmetric quantum mechanics
• Eigenphase preserving two-channel SUSY transformations

Cited by in corpus (9)

• On the phase-shift parameterization and ANC extraction from elastic-scattering data
• Single- and coupled-channel radial inverse scattering with supersymmetric transformations
• Singular matrix Darboux transformations in the inverse scattering method
• Supersymmetric inversion of effective-range expansions
• Energy-independent optical ${}^1{S}_{0}NN$ potential from Marchenko equation
• Neutron-proton scattering and singular potentials
• Energy-independent complex single $P$-waves $NN$ potential from Marchenko equation
• An approximation of the $S$ matrix for solving the Marchenko equation
• Multichannel generalization of eigen-phase preserving supersymmetric transformations