The homogeneous Bethe-Salpeter equation for fermion-scalar systems in Minkowski space

Abstract

The approach for solving the Bethe-Salpeter equation of bound systems with spin degrees of freedom has been further tested by investigating a fermion-scalar bound state. The main outcome of such a study is given by the extraction of genuinely dynamical information on both the valence probabilities and light-front distributions (longitudinal and transverse ones) and it has been achieved by exploiting the well-known Nakanishi integral representation of the Bethe-Salpeter amplitude. The whole set of obtained results improves the perspective of actually constructing a phenomenological framework where the dynamical features of a bound system can be studied directly in Minkowski space.