Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
arXiv:1305.3907 · doi:10.1016/j.aop.2014.06.002
Abstract
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 obtained in the gaussian approximation for the meson and diquark fields and it is given the Beth-Uhlenbeck form. This 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 at threshold by π in accordance with Levinson's theorem, when a bound state transforms to a resonance in the scattering continuum. The consequences for the contribution of pionic correlations to the pressure are discussed by evaluating the Beth-Uhlenbeck equation of state in different approximations. A similar discussion is performed for the scalar diquark channel in the normal phase. Further developments and applications of the developed approach are outlined.
29 pages, 5 figures, revised version accepted for Annals of Physics
References in corpus (9)
- Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
- Modern compact star observations and the quark matter equation of state
- The chiral and deconfinement crossover transitions: PNJL model beyond mean field
- BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
- Cluster virial expansion for nuclear matter within a quasiparticle statistical approach
- Pion dissociation and Levinson's theorem in hot PNJL quark matter
- Quark-Hadron Phase Transition in the PNJL model for interacting quarks
- Goldstone bosons in presence of charge density
- Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
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