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 the nucleon–nucleon interaction is used to solve the two-nucleon Bethe–Salpeter equation. Calculations are carried out taking into account both the ‘‘ \(3+1\) ’’ 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 calculations.
