Conserved Charge Fluctuations from Lattice QCD and the Beam Energy Scan

Abstract

We discuss the next-to-leading order Taylor expansion of ratios of cumulants of net-baryon number fluctuations. We focus on the relation between the skewness ratio, $S_B{\sigma }_B={\chi }_3^B/{\chi }_1^B$, and the kurtosis ratio, ${\kappa }_B{\sigma }_B^2={\chi }_4^B/{\chi }_2^B$. We show that differences in these two cumulant ratios are small for small values of the baryon chemical potential. The next-to-leading order correction to ${\kappa }_B{\sigma }_B^2$ however is approximately three times larger than that for $S_B{\sigma }_B$. The former thus drops much more rapidly with increasing beam energy, $\sqrt{s_{NN}}$. We argue that these generic patterns are consistent with current data on cumulants of net-proton number fluctuations measured by the STAR Collaboration at $\sqrt{s_{NN}}\ge 19.6$~GeV.

arXiv comment4 pages, 4 figures, contribution to the Quark Matter 2015 proceedings

References in corpus (6)

• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Measurement of higher cumulants of net-charge multiplicity distributions in Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=7.7-200$ GeV
• Energy Dependence of Moments of Net-Proton and Net-Charge Multiplicity Distributions at STAR
• The curvature of the freeze-out line in heavy ion collisions

Cited by in corpus (15)

• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Collision Energy Dependence of Moments of Net-Kaon Multiplicity Distributions at RHIC
• Exploring the QCD Phase Structure with Beam Energy Scan in Heavy-ion Collisions
• The phase structure of QCD
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Beam energy dependence of net-$\Lambda$ fluctuations measured by the STAR experiment at RHIC
• Centrality dependence of chemical freeze-out parameters from net-proton and net-charge fluctuations using hadron resonance gas model
• Conserved charge fluctuations at vanishing and non-vanishing chemical potential
• Correlation femtoscopy study at NICA and STAR energies within a viscous hydrodynamic plus cascade model
• Search for the QCD Critical Point by Transverse Velocity Dependence of Anti-deuteron to Deuteron Ratio
• Nuclear and Quark Matter at High Temperature
• The QCD critical point from the Nambu-Jona-Lasino model with a scalar-vector interaction
• Neutron density fluctuation and neutron-proton correlation from AMPT model
• Holography at QCD-$T_{\mathrm{c}}$
• Modeling chiral criticality and its consequences for heavy-ion collisions