Three-Fermion Bound States on the Light Front

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.

23 pages, 6 figures

References in corpus (3)

• Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
• Neutron${-}^{19}$C scattering near an Efimov state
• Light-front Nambu--Jona-Lasinio model at finite temperature and density