Three-nucleon bound state in a spin-isospin dependent three dimensional approach

Abstract

A spin-isospin-dependent three-dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this article. 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 $\ensuremath{-}8.152$ MeV is in good agreement with the achievements of the other partial wave based methods.