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HK: Fachverband Physik der Hadronen und Kerne

HK 23: Struktur und Dynamik von Kernen V

HK 23.3: Vortrag

Dienstag, 22. März 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.