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arXiv · 1805.00690

Marchenko method with incomplete data and singular nucleon scattering

Mahmut Elbistan·Pengming Zhang·Janos Balog
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Abstract

We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a $\beta/r^2$ type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant $\beta$, determining the singularity strength, in various spin/isospin channels. Instead of using Bargmann type S-matrices which allows only integer singularity strength, here we consider an analytical approach based on the incomplete data method, which is suitable for fractional singularity strengths as well.

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Mahmut Elbistan, Pengming Zhang, Janos Balog. 2018-05-02. Marchenko method with incomplete data and singular nucleon scattering. https://doi.org/10.1093/ptep/ptz034

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