The Friedrichs-Model with fermion-boson couplings

Details The Friedrichs-Model with fermion-boson couplings The Friedrichs-Model with fermion-boson couplings

2007-03-28

arxiv.org/abs/nucl-th/0703090v1

Int.J.Mod.Phys.E15:1273-1290,2006

Physics

Nuclear Physics

Nuclear Theory

24 pages

Scientific paper

10.1142/S0218301306004776

In this work we present an extended version of the Friedrichs Model, which includes fermion-boson couplings. The set of fermion bound states is coupled to a boson field with discrete and continuous components. As a result of the coupling some of the fermion states may become resonant states. This feature suggests the existence of a formal link between the occurrence of Gamow Resonant States in the boson sector, as predicted by the standard Friedrichs Model, with similar effects in the set of solutions of the fermion central potential (Gamow fermion resonances). The structure of the solutions of the model is discussed by using different approximations to the model space. Realistic couplings constants are used to calculate fermion resonances in a heavy mass nucleus.

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