Strange matter and kaon to pion ratio in SU(3) PNJL model

Abstract

The behavior of strange matter in the frame of the SU(3)Polyakov-loop extended Nambu-Jona-Lasinio model including $U_A(1)$ anomaly is considered. We discuss the appearance of a peak in the ratio of the number of strange mesons to non-strange mesons known as the "horn". The PNJL model gives a schematic description of the chiral phase transition and meson properties at finite temperature and density. Using the model, we can show that the splitting of kaon and anti-kaon masses appears as a result of introduction of density. This may explain the difference in the $K^{+}/{\pi }^{+}$ ratio and $K^{-}/{\pi }^{-}$ ratio at low $\sqrt{s_{NN}}$ and their tendency to the same value at high $\sqrt{s_{NN}}$. We also show that the rise in the ratio $K^{+}/{\pi }^{+}$ appears near CEP when we build the $K^{+}/{\pi }^{+}$ ratio along the phase transition diagram and it can be considered as a critical region signal.

arXiv comment7 pages, 7 figures

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Cited by in corpus (6)

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• Chiral phase transition and kaon-to-pion ratios in the entanglement SU(3) PNJL model
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• The role of the chiral phase transition in modelling the kaon to pion ratio
• Mott dissociation and kaon to pion ratio in the EPNJL model
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature