Mott dissociation and kaon to pion ratio in the EPNJL model

Abstract

The behaviour of pseudoscalar mesons within the SU(3)PNJL-like models is considered for finite T and ${\mu }_B$. We compare the pole approximation (Breit-Wigner) with the Beth-Uhlenbeck approach. We evaluate the $K/\pi$ ratios along the phase transition line in the T-${\mu }_B$ plane with constant and $T/{\mu }_B$-dependent pion and strange quark chemical potentials. Using the model, we can show that the splitting of kaon and anti-kaon masses appears as a result of introduction of density and this explains 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 $\sqrt{s_{NN}}$. A sharp "horn" effect in the $K^{+}/{\pi }^{+}$ ratio is explained by the enhanced pion production which can be described by occurrence of a nonequilibrium pion chemical potential of the order of the pion mass. We elucidate that the horn effect is not related to the existence of a critical endpoint in the QCD phase diagram.

arXiv commentarXiv admin note: substantial text overlap with arXiv:2009.03284

References in corpus (17)

• Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Entanglement between deconfinement transition and chiral symmetry restoration
• Chiral symmetry restoration in heavy-ion collisions at intermediate energies
• Pseudoscalars Mesons in Hot, Dense Matter
• Explanation of hadron transverse-momentum spectra in heavy-ion collisions at sqrt(sNN) = 2.76 TeV within chemical non-equilibrium statistical hadronization model
• Chiral condensate in hadronic matter
• Mott dissociation of pions and kaons in hot, dense quark matter
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Generalized Beth-Uhlenbeck approach to the equation of state for quark-hadron matter
• QCD phase diagram: an overview
• Strange matter and kaon to pion ratio in SU(3) PNJL model
• Brief history of the search for critical structures in heavy-ion collisions
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• Evidence for chiral symmetry restoration in heavy-ion collisions
• Chiral phase transition and kaon-to-pion ratios in the entanglement SU(3) PNJL model