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High Energy Physics - Phenomenology

arXiv:1312.0559 (hep-ph)
[Submitted on 2 Dec 2013]

Title:Pion and sigma meson dissociation in a modified NJL model at finite temperature

Authors:A. Dubinin, D. Blaschke, Yu. L. Kalinovsky
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Abstract:We investigate pion and sigma meson correlations in hot quark matter within a modified NJL model. Special emphasis is on the transformation of mesonic bound states to resonances (Mott dissociation) when due to the partial chiral symmetry restoration with increasing temperature the threshold of quark-antiquark continuum states drops below the meson mass at the corresponding Mott temperature. The description is based on evaluating the polarization functions for quark-antiquark (meson) correlations as a function of the temperature and the results can be represented by introducing modulus and phase of the complex propagator functions for the mesonic states. We study the effect of modelling confinement by introducing a low-momentum cutoff in loop integrals. We make the ansatz that this cutoff is identified with the dynamically generated quark mass gap and find an increase of the continuum threshold which makes the otherwise unbound sigma meson a bound state in the vacuum. We discuss the in-medium behavior of the mesonic phase shifts including the Mott effect and find accordance with the Levinson theorem.
Comments: 8 pages, 4 figures, Prepared for the Proceedings of the "XXXI Max Born Symposium and HIC for FAIR Workshop", Wroclaw, Poland, June 14-16, 2013
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:1312.0559 [hep-ph]
  (or arXiv:1312.0559v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1312.0559

Submission history

From: David Blaschke [view email]
[v1] Mon, 2 Dec 2013 19:29:02 UTC (390 KB)
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