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arXiv · 2507.03708

Rotational susceptibility of a hot and dense hadronic matter

Bhagyarathi Sahoo·Kshitish Kumar Pradhan·Dushmanta Sahu·Raghunath Sahoo
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Abstract

We study the effect of global rotation on rotational susceptibilities ($\chi^{(1)}_{\rm \omega}$, $\chi^{2}_{\rm \omega}$, etc.), which quantify how much the system responds to small angular velocities, in a hadron resonance gas produced by ultra-relativistic heavy ion collisions. The higher-order rotational susceptibilities and their ratios are estimated in the presence and absence of baryon chemical potential ($\mu_{\rm B}$) in the system. The effect of particle spin ($s$) and system size ($R$) on the first- and second-order rotational susceptibility is explored. To consider a more realistic scenario, the effect of interactions between hadrons is taken into account by considering van der Waals-like interactions, which include both attractive and repulsive interactions. To validate our results, a comparison with the ideal HRG as a baseline and a 3-flavour NJL model is shown. A nuclear liquid-gas phase transition, which is the characteristic feature of the van der Waals hadron resonance gas model, absent in an ideal hadron gas model, is probed via global rotation.

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Bhagyarathi Sahoo, Kshitish Kumar Pradhan, Dushmanta Sahu, Raghunath Sahoo. 2025-07-04. Rotational susceptibility of a hot and dense hadronic matter. https://doi.org/10.1140/epja%2Fs10050-026-01938-w

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