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arXiv · 1803.03047

Neutron-proton scattering and singular potentials

Mahmut Elbistan·Pengming Zhang·Janos Balog
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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 $2/r^2$ and $6/r^2$ in natural units, for the ${}^3S_1$ and ${}^1S_0$ channels respectively. The simplest solution in the ${}^3S_1$ 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 ${}^3S_1$-${}^3D_1$ coupled channel problem with the coupled channel Marchenko inversion method.

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Mahmut Elbistan, Pengming Zhang, Janos Balog. 2018-07-31. Neutron-proton scattering and singular potentials. https://doi.org/10.1088/1361-6471%2Faadc77

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