The $J$-matrix inverse scattering approach for coupled channels with different thresholds

TL;DR

This paper extends the $J$-matrix inverse scattering method to handle coupled-channel problems with different energy thresholds, broadening its applicability in quantum scattering analysis.

Contribution

It introduces a generalized inverse scattering procedure within the $J$-matrix framework for coupled channels with varying thresholds, a novel extension of existing methods.

Findings

Successfully generalized the $J$-matrix inverse scattering approach

Applicable to coupled channels with different thresholds

Enhances analysis capabilities in quantum scattering

Abstract

The inverse scattering method within the $J$-matrix approach to the two coupled-channel problem is discussed. We propose a generalization of the procedure to the case with different thresholds.