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.
Properties and uses of factorial cumulants in relativistic heavy-ion collisions
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abstract
We discuss properties and applications of factorial cumulants of various particle numbers and for their mixed channels measured by the event-by-event analysis in relativistic heavy-ion collisions. After defining the factorial cumulants for systems with multi-particle species, their properties are elucidated. The uses of the factorial cumulants in the study of critical fluctuations are discussed. We point out that factorial cumulants play useful roles in understanding fluctuation observables when they have underlying physics approximately described by the binomial distribution. As examples, we suggest novel utilization methods of the factorial cumulants in the study of the momentum cut and rapidity window dependences of fluctuation observables.
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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.