Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description

Abstract

We study the hadron-quark mixed phase within a two-phase model for symmetric and asymmetric matter. For the quark sector we employ the (2+1) Polyakov-extended Nambu-Jona-Lasinio model (PNJL) with vector interactions. We investigate how the hadronic equation of state affects the phase diagram and the thermodynamic properties inside the mixed phase. The behavior of isentropic trajectories in the mixed phase depends on the fixed entropy per baryon ($s/{\rho }_B$), with trajectories near the critical end point (CEP) exhibiting a pronounced cooling pattern, while isentropic trajectories with low entropy per baryon undergo pronounced heating as the baryonic density increases. The adiabatic squared speed of sound displays characteristic peak and dip structures that depend on $s/{\rho }_B$. The polytropic index along isentropic and isothermal trajectories, including in the vicinity of the CEP are also investigated. The effects of vector interactions and isospin asymmetry on thermodynamic observables likewise depend on the chosen $s/{\rho }_B$ value. Finally, we discuss the population of hyperons along isentropic trajectories and their influence on the phase diagram. The main effect of hyperons is to shift the onset of deconfinement to larger densities and decrease the density extension of the mixed phase.

22 pages, 11 figures; PRD version

References in corpus (29)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Cold Quark Matter
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Building relativistic mean field models for finite nuclei and neutron stars
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Strongly interacting matter exhibits deconfined behavior in massive neutron stars
• Trace anomaly as signature of conformality in neutron stars
• Equation of State for Nucleonic and Hyperonic Neutron Stars with Mass and Radius Constraints
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Testing Deconfinement at High Isospin Density
• The Equation of State for the Nucleonic and Hyperonic Core of Neutron Stars
• The QCD critical end point in the PNJL model
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Two-solar-mass hybrid stars: a two model description with the Nambu-Jona-Lasinio quark model
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Hadron-quark phase transition in asymmetric matter with dynamical quark masses
• Symmetry energy effects on the properties of hybrid stars
• Speed of sound in QCD matter
• Hybrid stars with large strange quark cores constrained by GW170817
• Properties of quark matter and hybrid stars from a quasiparticle model
• Speed of sound and liquid-gas phase transition in nuclear matter
• Properties of quark-matter cores in massive hybrid stars
• Equation of state for strange quark matter: Linking the Nambu--Jona-Lasinio model to perturbative QCD
• Speed of sound and polytropic index in QCD matter
• Role of the conserved charges in the chiral symmetry restoration phase transition
• Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line