Anomalous decay of pion and eta at finite density

Abstract

We study the anomalous decays ${\pi }^0,\eta \to \gamma \gamma$ in the framework of the three--flavor Nambu--Jona-Lasinio [NJL] model, in the vacuum and in quark matter in $\beta$ --equilibrium. It is found that the behavior of the relevant observables essentially reflects a manifestation of the partial restoration of chiral symmetry, in non strange and strange sectors. The probability of such decays decreases with density, showing that anomalous mesonic interactions are significantly affected by the medium.

arXiv comment12 pages, 4 figures included; revised version, to be published in Phys. Lett. B

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• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Pseudoscalars Mesons in Hot, Dense Matter
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
• Cutoff-independent regularization of four-fermion interactions for color superconductivity
• Effective restoration of the U_A(1) symmetry with temperature and density
• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• Regularization parameter independent analysis in Nambu-Jona-Lasinio model
• Anomalous decay of pion and eta at finite temperature
• Neutral pion decay in dense skyrmion matter
• Two photon decay of ${\pi }^0$ and $\eta$ at finite temperature and density