A hadron-quark hybrid model reliable for the EoS in ${\mu }_B\le 400$ MeV

Abstract

We present a simple version of hadron-quark hybrid (HQH) model in the ${\mu }_B$--$T$ plain, where $T$ is temperature and ${\mu }_B$ is the baryon-number chemical potential. The model is composed of the independent-quark model for quark-gluon states and an improved version of excluded-volume hadron resonance gas (EV-HRG) model for hadronic states. In the improved version of EV-HRG, the pressure has charge conjugation and is obtained by a simple analytic form. The switching function from hadron states to quark-gluon states in the present model has no chemical potential dependence. The simple HQH model is successful in reproducing LQCD results on the transition region of chiral crossover and the EoS in ${\mu }_B\le 400$ MeV. We then predict the chiral-crossover region in $400\le {\mu }_B\le 800$ MeV. We also predict a transition line derived from isentropic trajectories in $0\le {\mu }_B\le 800$ MeV and find that the effect of strangeness neutrality is small there.

References in corpus (32)

• Big-Bang Nucleosynthesis
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• Full result for the QCD equation of state with 2+1 flavors
• Chiral effective model with the Polyakov loop
• The QCD transition temperature: results with physical masses in the continuum limit
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Fluctuations of conserved charges at finite temperature from lattice QCD
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• The QCD phase diagram at nonzero quark density
• Simulating full QCD at nonzero density using the complex Langevin equation
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
• Effective Action for the Quark-Meson Model
• Hydrodynamical evolution near the QCD critical end point
• Controlling complex Langevin dynamics at finite density
• Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
• Two-point functions for SU(3) Polyakov Loops near T_c
• Polyakov loop extended NJL model with imaginary chemical potential
• Hadron Resonance Gas Equation of State from Lattice QCD
• Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion
• Baryon Number Fluctuations from a Crossover Equation of State Compared to Heavy-Ion Collision Measurements in the Beam Energy Range $\sqrt{s_{NN}}$ = 7.7 to 200 GeV
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• What Thermodynamics tells about QCD Plasma near Phase Transition
• Surprisingly large uncertainties in temperature extraction from thermal fits to hadron yield data at LHC
• Equation of state and transition temperatures in the quark-hadron hybrid model
• Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems

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