Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
Nuclear Theory
2017-02-07 v1
Abstract
In this paper, we have applied a three-dimensional approach for calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is formulated as a function of relative two-nucleon momentum vectors, which leads to a three-dimensional integral equation. The integral equation is solved by the iteration method, and the matrix elements of the relativistic potential are calculated from non-relativistic ones. Spin-independent Malfliet-Tjon potential is employed in the numerical calculations, and the numerical tests indicate that the two-nucleon observables calculated by the relativistic potential are preserved with high accuracy.
Keywords
Cite
@article{arxiv.1701.05279,
title = {Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions},
author = {M. R. Hadizadeh and M. Radin},
journal= {arXiv preprint arXiv:1701.05279},
year = {2017}
}