Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential

Abstract

We construct a hadron-quark two-phase model based on the Walecka-quantum hadrodynamics and the improved Polyakov-Nambu--Jona-Lasinio model with an explicit chemical potential dependence of Polyakov-loop potential ($\mu$PNJL model). With respect to the original PNJL model, the confined-deconfined phase transition is largely affected at low temperature and large chemical potential. Using the two-phase model, we investigate the equilibrium transition between hadronic and quark matter at finite chemical potentials and temperatures. The numerical results show that the transition boundaries from nuclear to quark matter move towards smaller chemical potential (lower density) when the $\mu$-dependent Polyakov loop potential is taken. In particular, for charge asymmetric matter, we compute the local asymmetry of $u,d$ quarks in the hadron-quark coexisting phase, and analyse the isospin-relevant observables possibly measurable in heavy-ion collision (HIC) experiments. In general new HIC data on the location and properties of the mixed phase would bring relevant information on the expected chemical potential dependence of the Polyakov Loop contribution.

arXiv comment11 pages, 10 figures, 1 Table, accepted for publication by Phys. Rev. D

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• The kurtosis of net baryon number fluctuations from a realistic Polyakov--Nambu--Jona-Lasinio model along the experimental freeze-out line
• Studies of the structure of massive hybrid stars within a modified NJL model
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Finite volume effects on the chiral phase transition from Dyson-Schwinger equations of QCD
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermodynamics of strongly interacting matter in a hybrid model
• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
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• Mesons and diquarks in a color superconducting regime
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description