Sunday, May 19, 2013

1305.3907 (D. Blaschke et al.)

Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot,
dense quark matter
   [PDF]

D. Blaschke, D. Zablocki, M. Buballa, G. Roepke
An important first step in the program of hadronization of chiral quark models is the bosonization in meson and diquark channels. This procedure is presented at finite temperatures and chemical potentials for the SU(2) flavor case of the NJL model with special emphasis on the mixing between scalar meson and scalar diquark modes which occurs in the 2SC color superconducting phase. The thermodynamic potential is given the Beth-Uhlenbeck form which allows a detailed discussion of bound state dissociation in hot, dense matter (Mott effect) in terms of the in-medium scattering phase shift of two-particle correlations. It is shown for the case without meson-diquark mixing that the phase shift can be separated into a continuum and a resonance part. In the latter, the Mott transition manifests itself by a change of the phase shift by \pi\ in accordance with the Levinson theorem, when a bound state transforms to a resonance in the scattering continuum. The question of a selfconsistent quasiparticle picture is discussed as a preparation for the second step in the hadronization program: the introduction of baryons and "integrating out" the diquark fields.
View original: http://arxiv.org/abs/1305.3907

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