Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

Abstract

The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that Fourier coefficients with respect to imaginary baryochemical potential are sensitive to modeling of baryonic interactions. As a first application of this sensitivity, we consider the hadron resonance gas (HRG) model with repulsive baryonic interactions, which are modeled by means of the excluded volume correction. The Fourier coefficients of the imaginary part of the net-baryon density at imaginary baryochemical potential -- corresponding to the fugacity or virial expansion at real chemical potential -- are calculated within this model, and compared with the $N_t=12$ lattice data. The lattice QCD behavior of the first four Fourier coefficients up to $T\simeq 185$ MeV is described fairly well by an interacting HRG with a single baryon-baryon eigenvolume interaction parameter $b\simeq 1$ fm${}^3$, while the available lattice data on the difference ${\chi }_2^B-{\chi }_4^B$ of baryon number susceptibilities is reproduced up to $T\simeq 175$ MeV.

11 pages, 4 figures, new Fig. 2 depicting ${\chi }_2^B-{\chi }_4^B$, version accepted for publication in Physics Letters B

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Cited by in corpus (12)

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• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Reliable estimation of the radius of convergence in finite density QCD
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Particlization of an interacting hadron resonance gas with global conservation laws for event-by-event fluctuations in heavy-ion collisions
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Freezeout systematics due to the hadron spectrum
• Hadron resonance gas with van der Waals interactions
• Constraining the QCD phase diagram at finite temperature and density
• Centrality dependence of proton and light nuclei yields as a consequence of baryon annihilation in the hadronic phase
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges