English

Neutron-proton scattering and singular potentials

Nuclear Theory 2018-09-13 v3 Quantum Physics

Abstract

We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering data suggest a singular repulsive core of the potential of the form 2/r22/r^2 and 6/r26/r^2 in natural units, for the 3S1{}^3S_1 and 1S0{}^1S_0 channels respectively. The simplest solution in the 3S1{}^3S_1 channel contains three parameters only but reproduces all features of the potential and bound state wave function within one percent error. We also consider the 3S1{}^3S_1-3D1{}^3D_1 coupled channel problem with the coupled channel Marchenko inversion method.

Keywords

Cite

@article{arxiv.1803.03047,
  title  = {Neutron-proton scattering and singular potentials},
  author = {Mahmut Elbistan and Pengming Zhang and Janos Balog},
  journal= {arXiv preprint arXiv:1803.03047},
  year   = {2018}
}

Comments

39 pages. Extended version. Title changed, presentation improved and a new appendix on the coupled channel problem added

R2 v1 2026-06-23T00:46:21.807Z