Three-Boson systems in light-front dynamics

Abstract

We have applied the quasi-potential approach to project the dynamics of three bosons to the light-front (LF). The quasi-potential approach projects the Bethe-Salpeter equation at equal LF times, subtracting out the three-body reducible diagrams, avoiding double counting in the kernel. We can obtain in a systematic way both the kernel of the integral equation for the valence component of the light-front wave function, and the next-to-leading order contribution to the kernel of the integral equation for the transition matrix. We give an example for the contact interaction model.