Abstract
We discuss the role of repulsive baryon–baryon interactions in a hadron gas using relativistic virial expansion and repulsive mean field approaches. The fluctuations of the baryon number as well as strangeness-baryon correlations are calculated in the hadron resonance gas with repulsive interactions and compared with the recent lattice QCD results. In particular, we calculate the difference between the second and fourth order fluctuations and correlations of baryon number and strangeness, that have been proposed as probes of deconfinement. We show that for not too high temperatures these differences could be understood in terms of repulsive interactions.
Highlights
Fluctuations and correlations of conserved charges, e.g. baryon number (B), electric charge (Q) and strangeness (S) have been studied in lattice QCD for some time
In this paper we discussed the role of repulsive baryon interactions on the thermodynamics and fluctuations of conserved charges of hadronic matter using relativistic virial expansion and repulsive mean field approach
The deviations from ideal hadron resonance gas (HRG) for higher order fluctuations and correlations of conserved charges can be naturally explained by the repulsive interactions
Summary
Fluctuations and correlations of conserved charges, e.g. baryon number (B), electric charge (Q) and strangeness (S) have been studied in lattice QCD for some time now. At sufficiently low temperatures QCD thermodynamics is expected to be fairly well described by a gas of non-interacting hadrons and hadron resonances, by so-called hadron resonance gas (HRG) model [3]. This picture naturally emerges from the S-matrix based relativistic virial expansion, where the interactions are manifested as the phase shifts of two particle scattering [4,5,6,7]. It has been recently shown that the repulsive interactions modeled by excluded volume can have significant effect on thermodynamic observables, in particular on higher order fluctuations [28,29,30]. In particular we evaluate χB2 −χB4 , and χB2 −χB6 , and show that the inclusion of the repulsive baryon baryon interaction can naturally explain the temperature dependence of these differences
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