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.