Fluctuations of the $K/\pi$ Ratio in Nucleus-Nucleus Collisions: Statistical and Transport Models

Abstract

Event-by-event fluctuations of the kaon to pion number ratio in nucleus-nucleus collisions are studied within the statistical hadron-resonance gas model (SM) for different statistical ensembles and in the Hadron-String-Dynamics (HSD) transport approach. We find that the HSD model can qualitatively reproduce the measured excitation function for the $K/\pi$ ratio fluctuations in central Au+Au (or Pb+Pb) collisions from low SPS up to top RHIC energies. Substantial differences in the HSD and SM results are found for the fluctuations and correlations of the kaon and pion numbers. These predictions impose a challenge for future experiments.

26 pages, 5 eps figures, to be published in Phys. Rev. C

References in corpus (20)

• Multiplicity Fluctuations in Hadron-Resonance Gas
• Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Bose-Einstein Condensation of Pions in High Multiplicity Events
• Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations
• Probability distributions in statistical ensembles with conserved charges
• Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
• Baryon Number and Electric Charge Fluctuations in Pb+Pb Collisions at SPS energies
• Searching for the Critical Point of QCD: Theoretical Benchmark Calculations
• Multiplicity Fluctuations in Nucleus-Nucleus Collisions: Dependence on Energy and Atomic Number
• Thermodynamic limit and semi--intensive quantities
• Multiplicity Distributions in Canonical and Microcanonical Statistical Ensembles
• Statistical Ensembles with Fluctuating Extensive Quantities
• Multiplicity Fluctuations in Proton-Proton and Nucleus-Nucleus Collisions
• A statistical model analysis of $K/\pi$ fluctuations in heavy ion collisions
• Multiplicity Fluctuations in Limited Segments of Momentum Space in Statistical Models
• Multiplicity Fluctuations in Au+Au Collisions at RHIC
• Statistical Ensembles with Volume Fluctuations
• Overview of event-by-event analysis of high energy nuclear collisions
• Fluctuations of particle ratios as a freeze-out probe

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• Statistical Fluctuations and Correlations in Hadronic Equilibrium Systems
• Multiplicity fluctuation and correlation of mesons and baryons in ultra-relativistic heavy-ion collisions at LHC