Including Thermal Mesons and Meson Resonances in the Chiral Mean-Field Equation of State
Abstract
The Chiral Mean-Field (CMF) model describes dense matter in terms of baryons and quarks interacting through scalar and vector meson mean fields. In the mean-field approximation, the meson fields are replaced by their expectation values. Their role in generating interactions and in-medium properties is retained, but explicit thermal mesonic excitations are absent. This becomes increasingly problematic at high temperature, where mesons contribute significantly to the thermodynamics of hadronic matter. Here, we keep the original CMF description of dense matter and add the thermal mesonic degrees of freedom using the mesonic sector of the Hadron Resonance Gas (HRG) module in the MUSES framework. Ground-state pseudoscalar and vector mesons account for the missing thermal excitations, while mesonic resonances provide, within the HRG picture, an effective description of mesonic interactions through resonance formation. We study how these contributions affect the pressure, entropy density, energy density, and baryon density, and compare the resulting equation of state with continuum-extrapolated lattice-QCD calculations.
Related
- An Extended Chiral Mean-Field Model with Medium-Modified Thermal Mesons for Hot and Dense Hadronic Matter
- Subthreshold Resonances in the Scattering of μ^-Mesons by Atomic Nuclei
- Chiral Unidirectional Resonances Enabled by Complete Coherent Radiation Control
- Peripheral nucleon-nucleon scattering with explicit vector mesons in chiral perturbation theory
- Enhanced chiral response of hybrid photonic structures empowered by Mie resonances
BibTeX
@misc{kahangirwe2026including,
title = {{Including Thermal Mesons and Meson Resonances in the Chiral Mean-Field Equation of State}},
author = {Micheal Kahangirwe and Joaquin Grefa and Mateus Reinke Pelicer and Rajesh Kumar and Claudia Ratti and Veronica Dexheimer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17470},
eprint = {2609.17470},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17470},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Including Thermal Mesons and Meson Resonances in the Chiral Mean-Field Equation of State
AU - Micheal Kahangirwe
AU - Joaquin Grefa
AU - Mateus Reinke Pelicer
AU - Rajesh Kumar
AU - Claudia Ratti
AU - Veronica Dexheimer
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17470
UR - https://arxiv.org/abs/2609.17470
AB - The Chiral Mean-Field (CMF) model describes dense matter in terms of baryons and quarks interacting through scalar and vector meson mean fields. In the mean-field approximation, the meson fields are replaced by their expectation values. Their role in generating interactions and in-medium properties is retained, but explicit thermal mesonic excitations are absent. This becomes increasingly problematic at high temperature, where mesons contribute significantly to the thermodynamics of hadronic matter. Here, we keep the original CMF description of dense matter and add the thermal mesonic degrees of freedom using the mesonic sector of the Hadron Resonance Gas (HRG) module in the MUSES framework. Ground-state pseudoscalar and vector mesons account for the missing thermal excitations, while mesonic resonances provide, within the HRG picture, an effective description of mesonic interactions through resonance formation. We study how these contributions affect the pressure, entropy density, energy density, and baryon density, and compare the resulting equation of state with continuum-extrapolated lattice-QCD calculations.
ER -