The effective interaction hyperspherical harmonics method for non-local potentials

TL;DR

This paper introduces a modified EIHH method tailored for non-local potentials, demonstrating improved convergence in nuclear ground-state calculations and discussing future applications to scattering cross sections.

Contribution

The paper presents a new formulation of the EIHH method that effectively handles non-local potentials, overcoming previous limitations.

Findings

Accelerated convergence of hyperspherical harmonics series.

Successful application to 4- and 6-nucleon ground-state properties.

Potential for extending to scattering cross section calculations.

Abstract

A different formulation of the effective interaction hyperspherical harmonics (EIHH) method, suitable for non-local potentials, is presented. The EIHH method for local interactions is first shortly reviewed to point out the problems of an extension to non-local potentials. A viable solution is proposed and, as an application, results on the ground-state properties of 4- and 6-nucleon systems are presented. One finds a substantial acceleration in the convergence rate of the hyperspherical harmonics series. Perspectives for an application to scattering cross sections, via the Lorentz transform method are discussed.