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

Details Decay of a scalar $σ$-meson near the critical end-point in the PNJL model Decay of a scalar $σ$-meson near the critical end-point in the PNJL model

2011-04-14

arxiv.org/abs/1104.2698v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 6 figures

Scientific paper

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 $\sigma\rightarrow\pi\pi$ 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 $m_\sigma\geq2m_\pi$ is broken.

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