Three-Fermion Bound States on the Light Front

TL;DR

This paper explores the stability and bound states of a relativistic three-fermion system with zero-range interactions using light front dynamics, revealing how coupling strength affects binding and discussing the relativistic Thomas collapse.

Contribution

It introduces an invariant cut-off to study the three-fermion system's stability and compares detailed calculations to previous simplified models.

Findings

Bound state dependence on coupling strength

Relativistic Thomas collapse discussed

Comparison with previous models

Abstract

We investigate the stability of the relativistic three-fermion system with a zero-range force in the light front form. In particular, introducing an invariant cut-off, we study the dependence of the bound state on the coupling strength also for cases where the two-fermion system is unbound. The relativistic Thomas collapse is discussed by solving the fully coupled integral equation system. Furthermore, we explicitly investigate the ground state mass of the three-fermion system and compare to previous simplified calculations.