J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization

TL;DR

This paper advances the J-matrix scattering method for inverse-square singular potentials with supercritical coupling by introducing regularization to improve convergence and representation accuracy.

Contribution

It reformulates the J-matrix theory with regularization to handle inverse-square singular potentials, enhancing convergence and tridiagonal representation.

Findings

Partial success in regularizing the potential

Improved convergence in calculations

Restoration of tridiagonal structure

Abstract

This paper is a continuation of the previous one [Journal xx, xxxxx (2022)]. Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the theory and recover the conventional tridiagonal representation. Partial success is achieved.