Münster 2011 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 23: Struktur und Dynamik von Kernen V
HK 23.3: Talk
Tuesday, March 22, 2011, 17:15–17:30, O-1
Stability of the three-fermion bound state on the light front — •Stefano Mattiello and Stefan Strauss — Institut für Theoretische Physik, Universität Giessen, Ger many
We derive and solve a set of coupled equations of a relativistic three fermion system subject to an effective scalar zero-rage interaction in the 1S0 channel on the light front. In the computation of the three- and two-fermion bound states as functions of the coupling constant λ we have introduced an invariant cut-off Λ. The invariant cut-off allows us to investigate the stability of the three-fermion bound state, i.e. the dependence on the coupling strength also for cases where the two-fermion system is unbound. Analogous to the three-boson system we find the relativistic Thomas collapse. Furthermore, we explicitly investigate the ground state mass of the three-fermion system and compare to previous simplifying calculations.
This work was supported by DFG.