A novel theoretical approach for the study of resonances in weakly bound systems

TL;DR

This paper introduces a new theoretical method using isospectral potentials to more accurately and easily study resonances in weakly bound nuclear systems, demonstrated on neutron-rich isotopes.

Contribution

A novel theoretical scheme employing isospectral potentials for improved resonance calculations in weakly bound nuclear systems.

Findings

Successfully applied to neutron-rich isotopes $^{18}$C and $^{20}$C

Enhanced accuracy in resonance level determination

Simplified computational process for resonances

Abstract

In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with the original shallow-well potential and has properties that are desirable to calculate resonances more accurately and easier. Effectiveness of the method has been had been demonstrated in terms of its application to the first $0^+$ resonances in the neutron-rich isotopes $^A$C ($\equiv ^{A-2}$C+n+n) in the three-body cluster model for A=18, 20.