Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method

TL;DR

This paper introduces a hyperspherical harmonics expansion method to solve three-particle Faddeev equations in configuration space, enabling calculation of nuclear bound state properties such as energies, wave function components, magnetic moments, and charge radii.

Contribution

The paper presents a novel approach using hyperspherical harmonics expansion to solve Faddeev equations in configuration space for three-particle systems.

Findings

Calculated binding energies of triton and helium-3 nuclei.

Determined wave function symmetry components.

Computed magnetic moments and charge radii.

Abstract

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have been calculated: the binding energies, the weights of symmetric and mixed-symmetry components of the wave function, the magnetic moments, and the charge radii.