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Transitions between different states of matter and their thermodynamic properties are described by the Equation of State (EoS). A universal representation of the EoS of Quantum Chromodynamics (QCD) for the wide range of phase diagram has…

High Energy Physics - Phenomenology · Physics 2023-08-22 Maria Stefaniak , Klaus Werner , Johannes Jahan , Hanna Zbroszczyk

We discuss the relativistic nuclear equation of state (EOS) using a relativistic transport model in heavy-ion collisions. From the baryon flow for $Au + Au$ systems at SIS to AGS energies and above we find that the strength of the vector…

Nuclear Theory · Physics 2009-11-06 P. K. Sahu

We construct the equation of state (EoS) of QCD based on the finite chemical potential information from the functional QCD approaches, with the assistance of the lattice QCD EoS. The obtained EoS is consistent with the up-to-date…

High Energy Physics - Phenomenology · Physics 2023-10-27 Yi Lu , Fei Gao , Bao-Chi Fu , Hui-Chao Song , Yu-Xin Liu

We formulate a family of equations of state for Quantum Chromodynamics that exhibit critical features and obey the charge conservation conditions present in heavy-ion collisions (HICs). This construction utilizes the first-principle Lattice…

A central issue in the theory of astrophysical compact objects and heavy ion reactions at intermediate and relativistic energies is the Nuclear Equation of State (EoS). On one hand, the large and expanding set of experimental and…

Nuclear Theory · Physics 2008-11-26 M. Baldo , C. Maieron

We present a strangeness-neutral equation of state for QCD that exhibits critical behavior and matches lattice QCD results for the Taylor-expanded thermodynamic variables up to fourth-order in $\mu_B/T$. It is compatible with the SMASH…

High Energy Physics - Phenomenology · Physics 2021-03-16 J. M. Stafford , D. Mroczek , A. R. Nava Acuna , J. Noronha-Hostler , P. Parotto , D. R. P. Price , C. Ratti

We investigate the phase structure and the equation of state (EoS) for dense two-color QCD at low temperatures, $T = 40$ MeV ($32^4$ lattice) and $T = 80$ MeV ($16^4$ lattice). A rich phase structure below the pseudo-critical temperature…

High Energy Physics - Lattice · Physics 2024-12-30 Etsuko Itou , Kei Iida , Kotaro Murakami , Daiki Suenaga

Bayesian methods are used to constrain the density dependence of the QCD Equation of State (EoS) for dense nuclear matter using the data of mean transverse kinetic energy and elliptic flow of protons from heavy ion collisions (HIC), in the…

High Energy Physics - Phenomenology · Physics 2023-11-20 Manjunath Omana Kuttan , Jan Steinheimer , Kai Zhou , Horst Stoecker

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…

Nuclear Theory · Physics 2008-11-26 A. S. Khvorostukhin , V. V. Skokov , V. D. Toneev , K. Redlich

Characteristics of the nuclear equation of state (EOS) and its importance, in particular for astrophysics, are discussed. Selected observables in nuclear collisions are sensitive to the EOS and can be used to constrain it. For central…

Nuclear Theory · Physics 2007-05-23 P. Danielewicz

The equation of state (EoS) of quantum chromodynamics (QCD) at zero temperature can be calculated in two different perturbative regimes: for small values of the baryon chemical potential $\mu$, one may use chiral perturbation theory…

Nuclear Theory · Physics 2016-08-16 Tyler Gorda

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

Nuclear Theory · Physics 2022-10-19 J. I. Kapusta , T. Welle

To accurately determine the nuclear equation of state (EoS) at finite baryon chemical potential ($\mu_B$) remains a challenging yet essential goal in the study of QCD matter under extreme conditions. In this study, we develop a deep…

Nuclear Theory · Physics 2025-01-20 Fu-Peng Li , Long-Gang Pang , Guang-You Qin

Current knowledge of the finite-density QCD equation of state from first principles is limited to a Taylor expansion in the baryonic chemical potential around $\mu_B=0$. By means of a scaling form for the equation of state of the 3D Ising…

High Energy Physics - Phenomenology · Physics 2019-02-20 Paolo Parotto

We calculate the equation of state at non-zero temperature and density from first principles in two-, three- and four-color QCD with two fermion flavors in the fundamental and two-index, antisymmetric representation. By matching low-energy…

High Energy Physics - Phenomenology · Physics 2015-07-22 Tyler Gorda , Paul Romatschke

A unified chiral mean field approach is presented for QCD thermodynamics in a wide range of temperatures and densities. The model simultaneously gives a satisfactory description of lattice QCD thermodynamics and fulfills nuclear matter and…

High Energy Physics - Phenomenology · Physics 2019-02-20 Anton Motornenko , Volodymyr Vovchenko , Jan Steinheimer , Stefan Schramm , Horst Stoecker

In this work, we extract the QCD Equation of State (EoS) using experimental results of the $\phi$ meson produced in nuclear collisions at AGS, SPS and RHIC energies. The data are confronted to simple thermodynamic expectations and lattice…

High Energy Physics - Phenomenology · Physics 2010-01-07 Raghunath Sahoo , Tapan K. Nayak , Jan-e Alam , Sonia Kabana , Basanta K. Nandi , Durga P. Mahapatra

We present realistic equations of state for QCD matter at vanishing net-baryon density which embed recent lattice QCD results at high temperatures combined with a hadron resonance gas model in the low-temperature, confined phase. In the…

High Energy Physics - Phenomenology · Physics 2014-07-17 M. Bluhm , P. Alba , W. Alberico , A. Beraudo , C. Ratti

We develop a new equation of state (EoS) table involving thermal (anti)kaons, Bose-Einstein condensate of $K^{-}$ mesons and $\Lambda$-hyperons for core-collapse supernova and neutron star merger simulations. This EoS table is based on a…

High Energy Astrophysical Phenomena · Physics 2021-04-05 Tuhin Malik , Sarmistha Banik , Debades Bandyopadhyay

Various thermodynamic quantities for baryon-free matter are calculated by combining the most reliable non-perturbative and perturbative calculations, especially the most recent ones including as many quark flavors as possible. We extend…

High Energy Physics - Phenomenology · Physics 2019-11-05 Abdel Nasser Tawfik , Igor Mishustin