Applications of the Modified Hulth\'en-Kohn Method for Bound and Scattering States

TL;DR

This paper explores the application of the modified Hulthén-Kohn method to calculate bound and scattering states in nuclear physics, demonstrating good convergence and potential for many-body and ab initio nuclear reaction studies.

Contribution

It applies and evaluates the Hulthén-Kohn method for continuum and bound states, highlighting its effectiveness and convergence properties in nuclear systems.

Findings

Good convergence of phase shifts and wave functions.

Accurate location of S-matrix poles for resonances and bound states.

Wave functions from approximate bound states improve convergence.

Abstract

We apply the Hulth\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This method is promising for many-body applications and ab initio description of nuclear reactions. We explore the convergence of phase shifts and wave functions as well as the location of S-matrix poles which enables obtaining both resonance and bound state parameters. We find that adopting wave functions from approximate bound-state solutions for the short-range components of basis wave functions leads to good convergence.