Magnetic properties of the hadron resonance gas with physical magnetic moments

We study magnetic properties of the hadron resonance gas in the presence of a strong (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mn>0</a:mn><a:mo>≤</a:mo><a:mi>B</a:mi><a:mo>≤</a:mo><a:mn>0.15</a:mn><a:mspace width="4pt"/><a:msup><a:mrow><a:mi>GeV</a:mi></a:mrow><a:mn>2</a:mn></a:msup></a:mrow></a:math>) 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 for 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 <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:mi mathvariant="normal">Δ</c:mi><c:mo>(</c:mo><c:mn>1232</c:mn><c:mo>)</c:mo></c:mrow></c:math> states, for which various theoretical estimates and experimental values differ significantly. We compare our model results with the lattice quantum chromodynamics data and find reasonable agreement within the model uncertainty.