Marchenko method with incomplete data and singular nucleon scattering
arXiv:1805.00690 · doi:10.1093/ptep/ptz034
Abstract
We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a $β/r^2$ type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant $β$, 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.
20 pages, 8 figures, published version