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.

arXiv comment13 pages, 11 figures

References in corpus (38)

• Determination of the Equation of State of Dense Matter
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Unified Description of Freeze-Out Parameters in Relativistic Heavy Ion Collisions
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• Hadron Resonance Mass Spectrum and Lattice QCD Thermodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• Hadronic fluctuations at the QCD phase transition
• Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
• Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
• The Equation of State of Deconfined Matter at Finite Chemical Potential in a Quasiparticle Description
• Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$
• Relativistic Heavy-Ion Collisions within 3-Fluid Hydrodynamics: Hadronic Scenario
• From QCD lattice calculations to the equation of state of quark matter
• HTL Perturbation Theory to Two Loops
• Report from NA49
• On the Quasiparticle Description of Lattice QCD Thermodynamics
• The QCD equation of state near T_0 within a quasi-particle model
• Role of isospin in the nuclear liquid-gas phase transition
• HTL quasiparticle models of deconfined QCD at finite chemical potential
• The isentropic equation of state of 2-flavor QCD
• Equation of state at finite temperature and chemical potential, lattice QCD results
• QCD Equations of State and the QGP Liquid Model
• Quasiparticle Description of Hot QCD at Finite Quark Chemical Potential
• Quasiparticle Description of the QCD Plasma, Comparison with Lattice Results at Finite T and Mu
• Lattice QCD Results at Finite Temperature and Density
• Phases of QCD, Thermal Quasiparticles and Dilepton Radiation from a Fireball
• Equation of state of deconfined matter within dynamical quasiparticle description
• The Massive Thermal Basketball Diagram
• Strangeness Production in Nuclear Matter and Expansion Dynamics
• Lattice QCD Constraints on Hybrid and Quark Stars
• Hadron Liquid with a Small Baryon Chemical Potential at Finite Temperature
• Thermodynamics of 2 and 3 flavour QCD
• The Critical Endpoint of Bootstrap and Lattice QCD Matter
• Equation of State of an Interacting Pion Gas with Realistic $\pi$--$\pi$ Interactions
• Canonical Strangeness and Distillation Effects in Hadron Production

Cited by in corpus (55)

• Transport-theoretical Description of Nuclear Reactions
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Quark-Nuclear Hybrid EoS with Excluded Volume Effects
• Phases of dense matter in compact stars
• Examination of the directed flow puzzle in heavy-ion collisions
• Directed Flow Indicates a Crossover Deconfinement Transition in Relativistic Nuclear Collisions
• Estimates of hyperon polarization in heavy-ion collisions at collision energies $\sqrt{s_{NN}}=$ 4--40 GeV
• Equation of state dependence of directed flow in a microscopic transport model
• Alternative Scenarios of Relativistic Heavy-Ion Collisions: I. Baryon Stopping
• 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
• Vorticity in heavy-ion collisions at the JINR Nuclotron-based Ion Collider fAcility
• Towards a Unified Quark-Hadron Matter Equation of State for Applications in Astrophysics and Heavy-Ion Collisions
• Alternative Scenarios of Relativistic Heavy-Ion Collisions: II. Particle Production
• Baryon Stopping as a Probe of Deconfinement Onset in Relativistic Heavy-Ion Collisions
• Alternative Scenarios of Relativistic Heavy-Ion Collisions: III. Transverse Momentum Spectra
• Correlation between global polarization, angular momentum and flow in heavy-ion collisions
• Robustness of the Baryon-Stopping Signal for the Onset of Deconfinement in Relativistic Heavy-Ion Collisions
• Elliptic Flow in Heavy-Ion Collisions at Energies $\sqrt{s_{NN}}=$ 2.7--39 GeV
• Vortex rings in fragmentation regions in heavy-ion collisions at $\sqrt{s_{NN}}=$ 39 GeV
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Neutron star mass limit at $2M_{\odot }$ supports the existence of a CEP
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Vorticity and Particle Polarization in Relativistic Heavy-Ion Collisions
• What can we learn from the directed flow in heavy-ion collisions at BES RHIC energies?
• Baryon Stopping in Heavy-Ion Collisions at E_{lab}= 2--160 GeV/nucleon
• Elliptic Flow of Protons and Antiprotons in Au+Au Collisions at $\sqrt{s_{NN}}$ = 7.7--62.4 GeV within Alternative Scenarios of Three-Fluid Dynamics
• Symmetry energy extracted from the S$\pi$RIT pion data in Sn+Sn systems
• Entropy Production and Effective Viscosity in Heavy-Ion Collisions
• Transverse-Mass Effective Temperature in Heavy-Ion Collisions from AGS to SPS
• Three-fluid Hydrodynamics-based Event Simulator Extended by UrQMD final State interactions (THESEUS) for FAIR-NICA-SPS-BES/RHIC energies
• Bulk Properties of the Matter Produced at Energies of the Beam Energy Scan Program
• 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
• Global polarization in heavy-ion collisions based on axial vortical effect
• Transverse-Mass Spectra in Heavy-Ion Collisions at energies E_{lab} = 2--160 GeV/nucleon
• High baryon and energy densities achievable in heavy-ion collisions at $\sqrt{s_{NN}}=$ 39 GeV
• Towards a new quark-nuclear matter EoS for applications in astrophysics and heavy-ion collisions
• Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach
• Estimates of the baryon densities attainable in heavy-ion collisions from the beam energy scan program
• Light fragment production at CERN Super Proton Synchrotron
• Baryon stopping as a signal of the mixed phase onset
• Equilibration and baryon densities attainable in relativistic heavy-ion collisions
• Phase Evolution and Freeze-out within Alternative Scenarios of Relativistic Heavy-Ion Collisions
• Examination of STAR fixed-target data on directed flow at $\sqrt{s_{NN}}=$ 3 and 4.5 GeV
• Quark mass dependence of thermal excitations in QCD in one-loop approximation
• Light-nuclei production in heavy-ion collisions within a thermodynamical approach
• Strange matter prospects within the string-flip model
• Directed flow in heavy-ion collisions and its implications for astrophysics
• Vortex rings in heavy-ion collisions at energies $\sqrt{s_{NN}}=$ 3--30 GeV and possibility of their observation
• Baryon stopping signal for mixed phase formation in HIC
• Excluded volume effects in the hybrid star EoS
• 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