Relativistic contributions to the deuteron photodisintegration in the Bethe-Salpeter formalism

Abstract

In plane wave one-body approximation the reaction of deuteron photodisintegration is considered in the framework of the Bethe-Salpeter formalism for two-nucleon system. Results are obtained for deuteron vertex function, which is the solution of the homogeneous Bethe-Salpeter equation with a multi-rank separable interaction kernel, with a given analytical form. A comparison is presented with predictions of non-relativistic, quasipotential approaches and the equal time approximation. It is shown that important contributions come from the boost in the arguments of the initial state vertex function and the boost on the relative energy in the one-particle propagator due to recoil.

Electromagnetic structure of the deuteron

“…The model has no final-state interactions or explicit nucleon resonance contributions. There is also a relativistic calculation of photodisintgration in Born approximation using the Bethe-Salpeter formalism [182,183]. It is found that the cross section is a factor of 2 to 10 times too small, and that relativistic effects are large.…”