English

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

Nuclear Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.0711.4026,
  title  = {Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach},
  author = {S. Bayegan and M. R. Hadizadeh and M. Harzchi},
  journal= {arXiv preprint arXiv:0711.4026},
  year   = {2008}
}

Comments

24 pages, 1 figure, 7 tables. Major changes; version to appear in Physical Review C

R2 v1 2026-06-21T09:47:16.547Z