Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach

TL;DR

This paper introduces a three-dimensional momentum vector approach to solve the three-nucleon bound state problem, avoiding partial wave decomposition, and successfully computes the Triton binding energy.

Contribution

It presents a novel spin-isospin dependent 3D formulation of Faddeev equations for three-nucleon systems, using momentum vectors directly.

Findings

Achieved Triton binding energy of -8.152 MeV.

Results agree well with partial wave methods.

Demonstrated effectiveness of 3D approach without partial wave expansion.

Abstract

A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, without employing a partial wave decomposition. As an application the spin-isospin dependent Faddeev integral equations are solved with Bonn-B potential. Our result for the Triton binding energy with the value of -8.152 MeV is in good agreement with the achievements of the other partial wave based methods.