Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.06.002· OSTI ID:22403388

Blaschke, D., E-mail: [e-mail] ^[1]; Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie ul. 6, 141980 Dubna ^[2]; Buballa, M., E-mail: [e-mail] ^[3]; Dubinin, A., E-mail: [e-mail] ^[1]; Röpke, G., E-mail: [e-mail] ^[4]; Zablocki, D., E-mail: [e-mail] ^[1]; Theoriezentrum, Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289 Darmstadt ^[5]

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1. Institute for Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław (Poland)
2. (Russian Federation)
3. Theoriezentrum, Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289 Darmstadt (Germany)
4. Institut für Physik, Universität Rostock, Universitätsplatz 3, 18055 Rostock (Germany)
5. (Germany)

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 in 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.

• OSTI ID: 22403388
• Journal Information: Annals of Physics (New York), Vol. 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
BOUND STATE
CHIRALITY
COLOR MODEL
EQUATIONS OF STATE
FLAVOR MODEL
MOTT SCATTERING
PHASE SHIFT
QUARK MATTER
SCALAR MESONS
SU-2 GROUPS