English

Marchenko method with incomplete data and singular nucleon scattering

Nuclear Theory 2019-05-21 v3 Mathematical Physics math.MP

Abstract

We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a β/r2\beta/r^2 type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant β\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.

Keywords

Cite

@article{arxiv.1805.00690,
  title  = {Marchenko method with incomplete data and singular nucleon scattering},
  author = {Mahmut Elbistan and Pengming Zhang and Janos Balog},
  journal= {arXiv preprint arXiv:1805.00690},
  year   = {2019}
}

Comments

20 pages, 8 figures, published version

R2 v1 2026-06-23T01:42:31.615Z