Lattice QCD Constraints on the Nuclear Equation of State

Abstract

Based on the quasi-particle description of the QCD medium at finite temperature and density we formulate the phenomenological model for the equation of state that exhibits crossover or the first order deconfinement phase transition. The models are constructed in such a way to be thermodynamically consistent and to satisfy the properties of the ground state nuclear matter comply with constraints from intermediate heavy--ion collision data. Our equations of states show quite reasonable agreement with the recent lattice findings on temperature and baryon chemical potential dependence of relevant thermodynamical quantities in the parameter range covering both the hadronic and quark--gluon sectors. The model predictions on the isentropic trajectories in the phase diagram are shown to be consistent with the recent lattice results. Our nuclear equations of states are to be considered as an input to the dynamical models describing the production and the time evolution of a thermalized medium created in heavy ion collisions in a broad energy range from SIS up to LHC.

13 pages, 11 figures

Cited by in corpus (25)

• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Examination of the directed flow puzzle in heavy-ion collisions
• Directed Flow Indicates a Crossover Deconfinement Transition in Relativistic Nuclear Collisions
• Equation of state dependence of directed flow in a microscopic transport model
• Event simulation based on three-fluid hydrodynamics for collisions at energies available at the Dubna Nuclotron-based Ion Collider Facility and at the Facility for Antiproton and Ion Research in Darmstadt
• Global $\Lambda$ polarization in moderately relativistic nuclear collisions
• Correlation between global polarization, angular momentum and flow in heavy-ion collisions
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Neutron star mass limit at $2M_{\odot }$ supports the existence of a CEP
• Symmetry energy extracted from the S$\pi$RIT pion data in Sn+Sn systems
• Transverse-Mass Effective Temperature in Heavy-Ion Collisions from AGS to SPS
• Global polarization in heavy-ion collisions based on axial vortical effect
• Update of the Three-fluid Hydrodynamics-based Event Simulator: light-nuclei production in heavy-ion collisions
• Global $\Lambda$ polarization in heavy-ion collisions at energies 2.4--7.7 GeV: Effect of Meson-Field Interaction
• Transverse-Mass Spectra in Heavy-Ion Collisions at energies E_{lab} = 2--160 GeV/nucleon
• Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach
• Equilibration and baryon densities attainable in relativistic heavy-ion collisions
• Examination of STAR fixed-target data on directed flow at $\sqrt{s_{NN}}=$ 3 and 4.5 GeV
• Directed flow in heavy-ion collisions and its implications for astrophysics
• Light-nuclei production in heavy-ion collisions within a thermodynamical approach
• Vortex rings in heavy-ion collisions at energies $\sqrt{s_{NN}}=$ 3--30 GeV and possibility of their observation
• Global $\Lambda$ polarization in heavy-ion collisions at high baryon density
• Predictions of baryon directed flow in heavy-ion collisions at high baryon density
• Space-time regions of high baryon density and baryon stopping in heavy-ion collisions