Relativistic four-nucleon calculations with rank-one separable potential
Nuclear Theory
2025-04-29 v1
Abstract
A solution to the relativistic generalization of the four-particle integral Faddeev-Yakubovsky equation is carried out. Only states with zero orbital angular momentum, states, are considered in the calculations. A rank-one separable potential for nucleon-nucleon interaction is used to solve the two-nucleon Bethe-Salpeter equation. Calculations are carried out taking into account both "3+1" and "2+2" subchannels in the equation. The system of integral equations is solved by the iteration method and the binding energy of the helium-4 nucleus is found. The calculated results are compared with experimental data and nonrelativistic.
Keywords
Cite
@article{arxiv.2504.18865,
title = {Relativistic four-nucleon calculations with rank-one separable potential},
author = {S. Yurev and S. Bondarenko},
journal= {arXiv preprint arXiv:2504.18865},
year = {2025}
}