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Cumulants of conserved charges in hydrodynamic simulations

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arxiv 2204.07181 v1 pith:JNQPL3CO submitted 2022-04-14 nucl-th hep-exhep-phnucl-ex

classification nucl-thhep-exhep-phnucl-ex
keywords hydrodynamiccumulantssimulationscollisionsfluctuationsmeanmethodnet-charge
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We introduce a fast and simple method of computing cumulants of net-proton or net-charge fluctuations in event-by-event hydrodynamic simulations of heavy-ion collisions. One evaluates the mean numbers of particles in every hydrodynamic event. Cumulants are then expressed as a function of these mean numbers. We implement the corrections due to global conservation laws. The method is tested using ideal hydrodynamic simulations of Au+Au collisions at $\sqrt{s_{NN}}=200$ AGeV with the NeXSPheRIO code. Results are in good agreement with experimental data on net-proton and net-charge fluctuations by the STAR collaboration.

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