Decay of a scalar $\sigma$-meson near the critical end-point in the PNJL model

Abstract

Properties of a scalar $\sigma$-meson are investigated in the two-flavor Nambu-Jona-Lasinio model with the Polyakov loop. Model analysis of the phase diagram of strong interacting matter is performed. The temperature dependence of the $\sigma \to \pi \pi$ decay width is studied at the zero chemical potential and near the critical end-point. The calculated strong coupling constant $g_{\sigma \pi \pi }$ and the decay width are compared with available experimental data and other model results. Nonthermal enhancement of the total decay width is noted for the $\sigma$ meson near the critical end-point when the condition $m_{\sigma }\ge 2m_{\pi }$ is broken.

11 pages, 6 figures

References in corpus (7)

• Phases of QCD: lattice thermodynamics and a field theoretical model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Pion and sigma meson properties in a relativistic quark model
• Pseudoscalar neutral mesons in hot and dense matter
• Pseudoscalars Mesons in Hot, Dense Matter
• $\sigma$ Meson In $J/\Psi$ Decays
• Statistical analysis of the sigma meson considered as two-pion resonance

Cited by in corpus (5)

• Quark scattering off quarks and hadrons
• Features of forward $\pi N$ scattering from a Reggeized model
• Isentropic thermodynamics and scalar-mesons properties near the QCD critical end point
• Pion damping width and pion spectral function in hot pion gas
• Cancellation of the sigma mode in the thermal pion gas by quark Pauli blocking