Application of the Non-extensive Statistical Approach to High Energy Particle Collisions

Abstract

In high-energy collisions the number of the created particles is far less than the thermodynamic limit, especially in small colliding systems (e.g. proton-proton). Therefore final-state effects and fluctuations in the one-particle energy distribution are appreciable. As a consequence the characterization of identified hadron spectra with the Boltzmann\,--\,Gibbs thermodynamical approach is insufficient. Instead particle spectra measured in high-energy collisions can be described very well with Tsallis\,--\,Pareto distributions, derived from non-extensive thermodynamics. Using the Tsallis q-entropy formula, a generalization of the Boltzmann\,--\,Gibbs entropy, we interpret the microscopical physics by analysing the Tsallis $q$ and $T$ parameters. In this paper we give a quick overview on these parameters, analyzing identified hadron spectra from recent years in a wide center of mass energy range. We demonstrate that the fitted Tsallis-parameters show dependency on this energy and on the particle species. Our findings are described well by a QCD inspired evolution ansatz.

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Cited by in corpus (12)

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• Mass hierarchy and energy scaling of the Tsallis--Pareto parameters in hadron productions at RHIC and LHC energies
• Hadronization within the Non-Extensive Approach and the Evolution of the Parameters
• Analysis of multiplicity dependencies of midrapidity pt distributions of identified charged particles in p+p collisions at (s)1/2=7 TeV at the LHC
• Study of Dependence of Kinetic Freezeout Temperature on the Production Cross Section of Particles in Various Centrality Intervals in Au Au and Pb Pb Collisions at High Energies
• Analysis of identified particle transverse momentum spectra produced in pp, p--Pb and Pb--Pb collisions at the LHC using Tsallis--Pareto-type function
• Non-extensive statistical distributions of charmed meson production in Pb-Pb and pp($\overline{\text{p}}$) collisions
• Decoupling of non-strange, strange and multi-strange particles from the system in Cu-Cu, Au-Au and Pb-Pb collisions at high energies
• The evolution of Information entropy components in Relativistic Heavy-Ion Collisions
• From Rényi Entropy Power to Information Scan of Quantum States
• The Spectrum of Low-$p_T$ $J/\psi$ in Heavy-Ion Collisions in a Statistical Two-Body Fractal Model
• An appropriate statistical approach for nonequilibrium particle production