Bethe-Salpeter calculation of three-nucleon observables with multirank separable interactions

Abstract

Bethe-Salpeter equations for two and three particles are employed to study relativistic effects in the three-nucleon bound-state system. The used covariant, multirank separable interactions are constructed from one phenomenological (Graz II) and two different meson-exchange potentials (Paris and Bonn). The obtained increase in the triton binding energy due to relativity ranges from 0.29 to 0.38 MeV. In an approximation where boost effects are neglected and an angular-averaging procedure is applied in the construction of the total trinucleon wave function, the elastic charge form factors are calculated.