Speaker
Description
Progress in applying the Bethe-Salpeter equation to study relativistic two-particle systems, in particular the deuteron at high energies [1] as well as recent successes in the application of the Bethe-Salpeter-Faddeev formalism for the study of three-nucleon nuclei (helion and triton) (binding energy, state amplitudes and electromagnetic form factors)[2] give a reason to assume that relativistic generalization of the Faddeev-Yakubovsky equation will be just as successful in describing relativistic four-nucleon systems.
The nonrelativistic Faddeev-Yakubovsky equation [3] in integral form for the components of the full four-particle T-matrix is taken as a basis.
This formalism has developed at a fairly good level from a theoretical point of view and was successfully applied, in particular, to the helium-4 nucleus.
In our work, the binding energy of helium-4 is calculated using the relativistic generalization of the Faddeev-Yakubovsky equation with the simplest one-rank separable NN interaction kernel (Yamaguchi).
The results of the calculation are compared with nonrelativistic ones.
[1]S. Bondarenko, V. Burov, A. Molochkov, G. Smirnov, H. Toki, Bethe-Salpeter approach with the separable interac-tion for the deuteron, Prog. Part. Nucl. Phys. 48 (2002) 449–535
[2]S.G. Bondarenko , V.V. Burov, S.A. Yurev. Nucl. Phys. A., 1004 (2020), 122065, S.G. Bondarenko , V.V. Burov, S.A. Yurev. Nucl. Phys. A., 1014 (2021), 122251
[3] O.A. Jacubovsky, Sov.J.Nucl.Phys. 5 (1967) 1312.
