Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
Abstract
The matrix elements of relativistic nucleon-nucleon potentials are calculated directly from the nonrelativistic potentials as a function of relative momentum vectors, without using a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic potentials is formulated in momentum-helicity basis states. It leads to a single integral equation for the two-nucleon spin-singlet state and four coupled integral equations for two-nucleon spin-triplet states, which are solved by an iterative method. Our numerical analysis indicates that the relativistic potential obtained using CD-Bonn potential reproduces the deuteron binding energy and neutron-proton elastic scattering differential and total cross-sections with high accuracy.
Cite
@article{arxiv.2108.12101,
title = {Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach},
author = {M. R. Hadizadeh and M. Radin and F. Nazari},
journal= {arXiv preprint arXiv:2108.12101},
year = {2021}
}