Exact global baryon number conservation alone cannot reproduce STAR BES-II and HADES proton factorial cumulants; adding repulsive proton pairs at high energies and attractive triplets at low energies does, but with parameters fitted to the same data.
S-matrix formulation of thermodynamics with N-body scatterings
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We apply a phase space expansion scheme to incorporate the N-body scattering processes in the S-matrix formulation of statistical mechanics. A generalized phase shift function suitable for studying the thermal contribution of $N \rightarrow N$ processes is motivated and examined in various models. Using the expansion scheme, we revisit how the hadron resonance gas model emerges from the S-matrix framework, and consider an example of structureless scattering in which the phase shift function can be exactly worked out. Finally we analyze the influence of dynamics on the phase shift function in a simple example of 3- and 4-body scattering.
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Baselines for Abelian Charge Fluctuations in Nuclear Collisions:Theory and Comparison with Experimental Data
Exact global baryon number conservation alone cannot reproduce STAR BES-II and HADES proton factorial cumulants; adding repulsive proton pairs at high energies and attractive triplets at low energies does, but with parameters fitted to the same data.