Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD

Abstract

The nuclear liquid-gas transition at normal nuclear densities, $n\sim n_0=0.16$ fm${}^{-3}$, and small temperatures, $T\sim 20$ MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A classical van der Waals equation is used to determine these unexpected features due to dense cold matter qualitatively. The existence of the nuclear matter critical point results in thermodynamic branch points, which are located at complex chemical potential values, for $T>T_c\simeq 20$ MeV, and exhibit a moderate model dependence up to rather large temperatures $T\lesssim 100$ MeV. The behavior at higher temperatures is studied using the van der Waals hadron resonance gas (vdW-HRG) model. The baryon-baryon interactions have a decisive influence on the QCD thermodynamics close to ${\mu }_B=0$. In particular, nuclear matter singularities limit the radius of convergence $r_{{\mu }_B/T}$ of the Taylor expansion in ${\mu }_B/T$, with $r_{{\mu }_B/T}\sim 2-3$ values at $T\sim 140-170$ MeV obtained in the vdW-HRG model.

11 pages, 5 figures

References in corpus (11)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The Skyrme Interaction in finite nuclei and nuclear matter
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• QCD at finite chemical potential with six time slices
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• QCD Critical Point and Complex Chemical Potential Singularities
• Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
• Reliable estimation of the radius of convergence in finite density QCD
• Quantum van der Waals and Walecka models of nuclear matter
• Critical point signatures in the cluster expansion in fugacities

Cited by in corpus (11)

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• Critical point fluctuations: Finite size and global charge conservation effects
• Hadron resonance gas with van der Waals interactions
• Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method
• Higher order conserved charge fluctuations inside the mixed phase
• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• Critical point influenced by Bose-Einstein condensation
• Effect of Coriolis Force on Diffusion of D Meson
• Shear viscosity and electrical conductivity of rotating quark matter in Nambu--Jona-Lasinio Model
• Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches
• Shear Viscosity and Electrical Conductivity of Rotating Nuclear Medium in Hadron Resonance Gas and Nambu-Jona Lasinio Models