[Submitted on 2 May 2018]
Marchenko method with incomplete data and singular nucleon scattering
Mahmut Elbistan · Pengming Zhang · Janos Balog
We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant , 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.
- Comments:
- 20 pages, 8 figures, published version
- Subjects:
- Nuclear Theory (nucl-th); Mathematical Physics (math-ph); math.MP (math.MP)
- arXiv:
- 1805.00690 [pdf]