Magnetic properties of the hadron resonance gas with physical magnetic moments

TL;DR

This paper investigates the magnetic properties of the hadron resonance gas under strong magnetic fields, emphasizing the impact of physical magnetic moments, including anomalous parts, and compares results with lattice QCD data.

Contribution

It incorporates physical magnetic moments with anomalous parts into the hadron resonance gas model and analyzes their effects on magnetic susceptibilities, providing a detailed comparison with lattice QCD results.

Findings

Anomalous magnetic moments significantly affect charge susceptibilities.

Large effects observed for $ ext{Delta}(1232)$ states.

Model results agree reasonably with lattice QCD data.

Abstract

We study magnetic properties of the Hadron Resonance Gas in the presence of a strong ($0 \le B \le 0.15~{\rm GeV}^2$) uniform magnetic field, using physical values of the magnetic moments of hadrons, i.e., including their anomalous parts. The values of these moments are taken from experiment, or when unavailable, from theoretical estimates. We evaluate the conserved charge susceptibilities, finding the expected sizable effects of the anomalous magnetic moments, in particular of the octet baryons, such as the proton and neutron, where they are exceptionally large. We also study in detail the large effects of the magnetic moments of the $\Delta(1232)$ states, for which various theoretical estimates and experimental values differ significantly. We compare our model results with the lattice QCD data and find reasonable agreement within the model uncertainty.