Relativistic four-nucleon calculations with rank-one separable potential

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.

уравнения Фаддеева–Якубовского, ядро гелия-4, релятивистское исследование