Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models

TL;DR

This paper presents a three-dimensional momentum space approach to solve Faddeev-Yakubovsky equations for three- and four-body bound states, incorporating three-body forces and nucleon-nucleon potentials, showing results consistent with other methods.

Contribution

It introduces a simplified, partial-wave free method for solving Faddeev-Yakubovsky equations in three dimensions with realistic potentials.

Findings

Results agree well with other techniques

Method simplifies computations for few-body bound states

Effective for incorporating three-body forces

Abstract

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion of three-body forces. In the calculations of the binding energies, spin-dependent nucleon-nucleon (NN) potential models (named, S$_{3}$, MT-I/III, YS-type and P$_{5.5}$GL) are considered along with the scalar two-meson exchange three-body potential. Good agreement of the presently reported results with the ones obtained by other techniques are obtained, demonstrating the advantage of an approach in which the formalism is much more simplified and easy to manage for direct computation.