Identity Method for Particle Number Fluctuations and Correlations

Abstract

An incomplete particle identification distorts the observed event-by-event fluctuations of the hadron chemical composition in nucleus-nucleus collisions. A new experimental technique called the {\em identity method} was recently proposed. It eliminated the misidentification problem for one specific combination of the second moments in a system of two hadron species. In the present paper this method is extended to calculate all the second moments in a system with arbitrary number of hadron species. Special linear combinations of the second moments are introduced. These combinations are presented in terms of single-particle variables and can be found experimentally from the event-by-event averaging. The mathematical problem is then reduced to solving a system of linear equations. The effect of incomplete particle identification is fully eliminated from the final results.

11 pages

References in corpus (6)

• Strongly Intensive Quantities
• Onset of deconfinement in nucleus-nucleus collisions: Review for pedestrians and experts
• Multiplicity Fluctuations in Hadron-Resonance Gas
• Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
• K/pi Fluctuations at Relativistic Energies
• Identity method to study chemical fluctuations in relativistic heavy-ion collisions

Cited by in corpus (21)

• Global baryon number conservation encoded in net-proton fluctuations measured in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle
• New Entropy Formula with Fluctuating Reservoir
• Identity Method for the Determination of the Moments of Multiplicity Distributions
• Phase-space dependence of particle-ratio fluctuations in Pb+Pb collisions from 20A to 158A GeV beam energy
• Relative particle yield fluctuations in Pb-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathrm{NN}}}=2.76$ TeV
• Recent Developments in the Study of Deconfinement in Nucleus-Nucleus Collisions
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
• Event-by-Event Identified Particle Ratio Fluctuations in Pb-Pb Collisions with ALICE using the Identity Method
• Multiplicity fluctuations of identified hadrons in p+p interactions at SPS energies
• TIdentity module for the reconstruction of the moments of multiplicity distributions
• Identity Method Revisited
• System size dependence of particle-ratio fluctuations in Pb+Pb collisions at 158$A$ GeV
• Neutral to charged kaon yield fluctuations in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76TeV
• Overview of fluctuation and correlation measurements
• Investigating correlated fluctuations of conserved charges with net-$\Lambda$ fluctuations in Pb-Pb collisions at ALICE
• Measurements of multiplicity fluctuations of identified hadrons in inelastic proton-proton interactions at the CERN Super Proton Synchrotron
• Differential Correlation Measurements with the Identity Method
• Particle-Set Identification method to study multiplicity fluctuations
• Recent results from NA61/SHINE and NA49
• Heavy-ion physics at the CERN SPS H2: NA35, NA49 and NA61/SHINE (with personal recollections)