Relativistic four-nucleon calculations with rank-one separable potential

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, $S$ 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.