Nonsymmetrized hyperspherical harmonics with realistic NN potentials

TL;DR

This paper presents a method for solving the nuclear many-body Schrödinger equation using nonsymmetrized hyperspherical harmonics, incorporating spin and isospin, and applies it to light nuclei with realistic NN potentials.

Contribution

It extends and modifies existing hyperspherical harmonic formalism to include spin and isospin, enabling more realistic nuclear structure calculations.

Findings

Ground-state energies agree with literature

Method effectively handles realistic NN potentials

Applicable to 4- and 6-body nuclei

Abstract

The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et al.. The extension consists in the inclusion of spin and isospin degrees of freedom such that a calculation with more realistic NN potential models becomes possible, whereas the modification allows a much simpler determination of the fermionic ground state. The approach is applied to four- and six-body nuclei (4He, 6Li) with various NN potential models. It is shown that the results for ground-state energy and radius agree well with those from the literature.