Momentum dependent nucleon-nucleon potentials via inverse scattering techniques

Korinek, F.; Leeb, H.; Braun, Moritz; Sofianos, S. A.; Adam, Róbert

doi:10.1016/0375-9474(96)00213-8

Cited by 3 publications

(1 citation statement)

References 44 publications

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“…A similar conclusion was drawn in Ref. [23], which can be accounted by allowing explicit nonlocalities in the potential, for instance through a momentum dependence [24] or a quadratic dependence on angular momentum L. These possibilities will be further explored elsewhere. In the meanwhile, let us stress that the present potentials are local, except for their partial-wave dependence, which makes them quite different from usual realistic nucleon-nucleon interactions.…”

Section: Application To Neutron-proton Elastic Scatteringsupporting

confidence: 63%

Supersymmetric inversion of effective-range expansions

et al. 2015

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A complete and consistent inversion technique is proposed to derive an accurate interaction potential from an effective-range function for a given partial wave in the neutral case. First, the effective-range function is Taylor or Padé expanded, which allows high precision fitting of the experimental scattering phase shifts with a minimal number of parameters on a large energy range. Second, the corresponding poles of the scattering matrix are extracted in the complex wave-number plane. Third, the interaction potential is constructed with supersymmetric transformations of the radial Schrödinger equation. As an illustration, the method is applied to the experimental phase shifts of the neutron-proton elastic scattering in the

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Section: Application To Neutron-proton Elastic Scatteringsupporting

confidence: 63%