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

Properties of a scalar $σ$-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 $σ\rightarrowππ$ decay width is studied at the zero chemical potential and near the critical end-point. The calculated strong coupling constant $g_{σππ}$ 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 $σ$ meson near the critical end-point when the condition $m_σ\geq2m_π$ is broken.

preprint2011arXivOpen access

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