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.

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

References in corpus (7)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD equation of state with dynamical quarks
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions
• Energy Dependence of Moments of Net-Proton and Net-Charge Multiplicity Distributions at STAR

Cited by in corpus (4)

• 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