Baseline for the cumulants of net-proton distributions at STAR

Abstract

We present a systematic comparison between the recently measured cumulants of the net-proton distributions by STAR for 0-5% central Au+Au collisions at $\sqrt{s_{NN}}$=7.7-200 GeV and two kinds of possible baseline measures, the Poisson and Binomial baselines. These baseline measures are assuming that the proton and anti-proton distributions independently follow Poisson statistics or Binomial statistics. The higher order cumulant net-proton data are observed to deviate from all the baseline measures studied at 19.6 and 27 GeV. We also compare the net-proton with net-baryon fluctuations in UrQMD and AMPT model, and convert the net-proton fluctuations to net-baryon fluctuations in AMPT model by using a set of formula.

4 pages, 5 figures, Proceedings of XXIV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2014), May 19-24, 2014, Darmstadt, Germany

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• Scale for the Phase Diagram of Quantum Chromodynamics
• QCD at finite chemical potential with six time slices

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• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV
• Critical properties of various sizes of cluster in the Ising percolation transition
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• Cumulants of net-strangeness multiplicity distributions at energies available at the BNL Relativistic Heavy Ion Collider