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HK: Physik der Hadronen und Kerne

HK 40: Theorie VI

HK 40.4: Talk

Thursday, March 20, 2003, 14:15–14:30, D

The stability of the relativistic three body system and in-medium equations — •Stefano Mattiello¹, Michael Beyer¹, Tobias Frederico² und Hans-Juergen Weber³ — ¹University of Rostock — ²CTA Sao Paulo — ³University of Virginia

We present a relativistic three-body equation to study the transition from quark to nucleons as relevant degrees of freedom (Mott transition). We consider first the isolated case and then medium effects. Using a zero-range interaction we investigate the stability of the isolated three body system studying the dependence on an invariant parameter Λ. The relativistic in-medium three-body equation is derived within a systematic Dyson equation approach and includes the dominant medium effects due to Pauli blocking and self energy corrections. Relativity is implemented utilizing the light front form. We present correlations between two- and three-particle binding energies and calculate the three-body Mott transition.