Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation

Abstract

We work out a superstatistical description of high-energy scattering processes that takes into account temperature fluctuations in small volume elements. For Gamma-distributed fluctuations of the inverse temperature one effectively obtains formulas similar to those used in nonextensive statistical mechanics, whereas for other temperature distributions more general superstatistical models arise. We consider two main examples: Scattering processes of cosmic ray particles and e+e- annihilation processes. In both cases one obtains excellent fits of experimentally measured energy spectra and cross sections.

18 pages, 3 figures. Contribution for EPJA topical issue

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• Superstatistics
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• Generalized statistical mechanics for superstatistical systems
• Baryogenesis in non-extensive Tsallis Cosmology
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• Model-independent Astrophysical Constraints on Leptophilic Dark Matter in the Framework of Tsallis Statistics
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• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• q-deformed statistics and the role of a light fermionic dark matter in the supernova SN1987A cooling
• Special Relativity induced by Granular Space
• Non-extensive statistics, relativistic kinetic theory and fluid dynamics
• Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics
• Analyzing Spatio-Temporal Dynamics of Dissolved Oxygen for the River Thames using Superstatistical Methods and Machine Learning
• Nonextensive Nuclear Liquid-Gas Phase Transition
• Axiomatic nonextensive statistics at NICA energies
• Spatio-temporal complexity of power-grid frequency fluctuations
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Lattice QCD thermodynamics and RHIC-BES particle production within generic nonextensive statistics
• Generalization of the Beck-Cohen superstatistics
• $q$-deformed Einstein's Model to Describe Specific Heat of Solid
• Superstatistics and temperature fluctuations
• Bose-Einstein condensation of pions in proton-proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics
• A maximum entropy approach to H-theory: Statistical mechanics of hierarchical systems
• Universal properties of primary and secondary cosmic ray energy spectra
• Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system
• Analyzing Non-Extensivity of $\eta$-spectra in Relativistic Heavy Ion Collisions at $\sqrt{s_{NN}}=200$ GeV
• An Extensive Study of Bose-Einstein Condensation in Liquid Helium using Tsallis Statistics
• Multiplicity spectra in pp collisions at LHC energies in terms of Gamma and Tsallis distributions
• Nonextensive lattice gauge theories: algorithms and methods
• Thermal leptogenesis in nonextensive cosmology
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• Gas-liquid transition in the model of particles interacting at high energy
• Conditional maximum entropy and Superstatistics
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Nonlinear statistical effects in relativistic mean field theory
• Jet Mass Dependence of Fragmentation in Positron-Proton Collisions
• SN1987A cooling due to Plasmon-Plasmon scattering in the Randall-Sundrum Model
• Constraints on light Dark Matter fermions from relic density consideration and Tsallis statistics
• Entropy exchange and thermal fluctuations in the Jaynes-Cummings model
• Fluctuations of water quality time series in rivers follow superstatistics