Volume fluctuation and multiplicity correlation on higher-order cumulants

Abstract

Initial volume fluctuation (VF) arising from the participant fluctuation would be the background which should be subtracted experimentally from the measured higher-order cumulants. We study the validity of the Volume Fluctuation Correction (VFC) on higher-order net-proton cumulants by using simple toy model and UrQMD model in Au+Au collisions at \sqrt s_{NN} = 200 GeV for various centrality definitions. The results are compared to the conventional data driven method called Centrality Bin Width Correction (CBWC). We find VFC works well in toy model assuming independent particle production (IPP), but does not seem to work well in UrQMD model. It is also found that cumulants are strongly affected by the multiplicity correlation effect as well as the centrality resolution effect. These results show that neither VFC nor CBWC are perfect method. Thus, both methods should be compared in the real experiment.

8 pages and 8 figures

References in corpus (4)

• Strongly Intensive Quantities
• Collision Energy Dependence of Moments of Net-Kaon Multiplicity Distributions at RHIC
• Reconstructing the impact parameter of proton-nucleus and nucleus-nucleus collisions
• Higher order net-proton number cumulants dependence on the centrality definition and other spurious effects

Cited by in corpus (15)

• Non-monotonic energy dependence of net-proton number fluctuations
• Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at energies available at the BNL Relativistic Heavy Ion Collider
• Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• Global baryon number conservation encoded in net-proton fluctuations measured in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Reconstructing particle number distributions with convoluting volume fluctuations
• Measurement of the Sixth-Order Cumulant of Net-Proton Distributions in Au+Au Collisions from the STAR Experiment
• Impact of event activity variable on the ratio of observables in isobar collisions
• Effects of resonance weak decays and hadronic re-scattering on the proton number fluctuations in Au + Au collisions at $\sqrt{s_{\mathrm{NN}}}=5$ GeV from JAM model
• Measurements of charged-particle multiplicity dependence of higher-order net-proton cumulants in $p$+$p$ collisions at $\sqrt{s}=$ 200 GeV from STAR at RHIC
• Beam Energy Dependence of Fifth and Sixth-Order Net-proton Number Fluctuations in Au+Au Collisions at RHIC
• A Centrality-independent Framework for Revealing Genuine Higher-Order Cumulants in Heavy-Ion Collisions
• Baseline study for net-proton number fluctuations at top energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider with the Angantyr model
• Ratio of baryon and electric-charge cumulants at second order with acceptance corrections