Bethe-Salpeter Approach to Three-Body Bound States with Zero-Range Interaction

Abstract

The relativistic three-boson system with zero-range interaction has recently been investigated by our group by using the valence Light-Front and the four-dimensional Euclidean Bethe-Salpeter equations. We review some results from those studies, focusing on the impact of higher-Fock contributions on the computed physical quantities. Furthermore, we have also solved the Bethe-Salpeter equation by direct integration in Minkowski space and some first results from these calculations are presented. A full solution in Minkowski space is important since it gives direct access to dynamical observables such as electromagnetic form factors and momentum distributions. The obtained results are in fair agreement with the ones computed in Euclidean when the comparison is suitable.