Net-baryon multiplicity distribution consistent with lattice QCD

Abstract

We determine the net-baryon multiplicity distribution which reproduces all cumulants measured so far by lattice QCD. We present the dependence on the volume and temperature of this distribution. We find that for temperatures and volumes encountered in heavy ion reactions, the multiplicity distribution is very close to the Skellam distribution, making the experimental determination of it rather challenging. We further provide estimates for the statistics required to measure cumulants of the net-baryon and net-proton distributions.

arXiv comment13 pages, 6 figures; Extended version. Now include statistics estimate for RHIC and LHC based on delta method

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• The analytic structure of thermodynamic systems with repulsive interactions
• Critical point signatures in the cluster expansion in fugacities
• Net-proton number fluctuations in the presence of the QCD critical point
• Critical point particle number fluctuations from molecular dynamics