Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Thermodynamically consistent treatment of repulsive corrections in HRG

Somenath Pal

Abstract

We reformulate the treatment of density-dependent chemical potential shifts appearing in excluded-volume implementations of the hadron resonance gas model. An auxiliary classical representation is constructed in which a common energy shift is determined by preserving the scalar number density, ensuring thermodynamic consistency. Hadron radii are parametrized through a liquid-drop inspired mass-radius relation with two parameters: the pion radius and a scaling exponent. The resulting framework reproduces lattice QCD results for lower-order conserved-charge susceptibilities at zero chemical potentials with only two adjustable parameters.

Thermodynamically consistent treatment of repulsive corrections in HRG

Abstract

We reformulate the treatment of density-dependent chemical potential shifts appearing in excluded-volume implementations of the hadron resonance gas model. An auxiliary classical representation is constructed in which a common energy shift is determined by preserving the scalar number density, ensuring thermodynamic consistency. Hadron radii are parametrized through a liquid-drop inspired mass-radius relation with two parameters: the pion radius and a scaling exponent. The resulting framework reproduces lattice QCD results for lower-order conserved-charge susceptibilities at zero chemical potentials with only two adjustable parameters.
Paper Structure (8 sections, 14 equations, 5 figures)

This paper contains 8 sections, 14 equations, 5 figures.

Table of Contents

  1. Introduction
  2. Framework
  3. Excluded volume correction
  4. Conceptual framework to facilitate the calculation
  5. Hadron radius parametrization
  6. Results
  7. Summary
  8. Acknowledgment

Figures (5)

  • Figure 1: Second order baryon number ($\chi^B_2$), electric charge ($\chi^Q_2$) and strangeness ($\chi^S_2$) susceptibilities at zero chemical potentials. Lattice data has been taken from Ref. Bollweg:2021vqf.
  • Figure 2: Fourth order baryon number ($\chi^B_4$), electric charge ($\chi^Q_4$) and strangeness ($\chi^S_4$) susceptibilities at zero chemical potentials. Lattice data has been taken from Ref. Borsanyi:2018grb.
  • Figure 3: Crossed susceptibilities of conserved charges at zero chemical potentials. Lattice data has been taken from Ref. Karthein:2021cmb.
  • Figure 4: Difference of second and fourth order baryon number ($\chi^B_2$) and strangeness ($\chi^S_2$) susceptibilities at zero chemical potentials. Lattice data has been taken from Ref. Bellwied:2015lbaBorsanyi:2018grb.
  • Figure 5: Ratios of second and fourth order baryon number ($\chi^B_2$) and strangeness ($\chi^S_2$) susceptibilities at zero chemical potentials. Lattice data has been taken from Ref. Borsanyi:2023wnoBorsanyi:2018grb.