Rapidity Spectra Analysis in Terms of Non Extensive Statistic Approach

Abstract

We provide description of rapidity spectra of particles produced in p-anti-p collisions using anomalous diffusion approach to account for their non-equilibrium character. In particular, we exhibit connection between multiproduction processes and anomalous diffusion described through the nonlinear Focker-Planck equation with nonlinearity given by the nonextensivity parameter q describing the underlying Tsallis q-statistics and demonstrate how it leads to the Feynman scaling violation in these collisions. The q parameter obtained this way turns out to be closely connected to parameter 1/k converting the original poissonian multiplicity distribution to its observed Negative Binomial form. The inelasticity of reaction has been also calculated and found to slightly decrease with the increasing energy of reaction. Keywords: inelasticity, rapidity spectra, nonextensivity

4 pages, 4 figures, Presented at XII International Symposium on Very High Energy Cosmic Ray Interactions, CERN, Switzerland, 15-20 July 2002

References in corpus (5)

• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• The imprints of nonextensive statistical mechanics in high energy collisions
• Anomalous diffusion in non-equilibrium relativistic heavy-ion rapidity spectra
• Application of nonextensive statistics to particle and nuclear physics
• Pseudorapidity Distribution of Charged Particles in PbarP Collisions at root(s)= 630GeV

Cited by in corpus (22)

• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions at the LHC
• Nonextensive hydrodynamics for relativistic heavy-ion collisions
• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Consequences of temperature fluctuations in observables measured in high energy collisions
• Diffusion and local deconfinement in relativistic systems
• Local Thermalization in the d + Au System
• Fluctuations, correlations and the nonextensivity
• Description of η-distributions at RHIC energies in terms of a stochastic model
• Centrality dependence of charged-hadron pseudorapidity distributions in PbPb collisions at LHC energies in the RDM
• The imprints of superstatistics in multiparticle production processes
• Time evolution of relativistic d + Au and Au + Au collisions
• From RHIC to LHC: A relativistic diffusion approach
• Equivalence of volume and temperature fluctuations in power-law ensembles
• Nonextensive statistical mechanics - Applications to nuclear and high energy physics
• Produced charged hadrons in central Pb + Pb collisions at LHC energies in the RDM
• Baryon stopping as a relativistic Markov process in phase space
• Hadron production in heavy relativistic systems
• Multiplicity fluctuations in high energy hadronic and nuclear collisions
• Traces of nonextensivity in particle physics due to fluctuations
• Particle production and nonlinear diffusion in relativistic systems
• Multiparticle production processes from the Information Theory point of view