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 and in natural units, for the and channels respectively. The simplest solution in the 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 - coupled channel problem with the coupled channel Marchenko inversion method.
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