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Entropy 2017, 19(3), 88;

Systematic Analysis of the Non-Extensive Statistical Approach in High Energy Particle Collisions—Experiment vs. Theory

Wigner Research Center for Physics of the HAS, 29–33 Konkoly–Thege Miklós Str., H-1121 Budapest, Hungary
Institute of Physics, Eötvös Loránd University, 1/A Pázmány Péter Sétány, H-1117 Budapest, Hungary
Institute of Physics, Jan Kochanowski University, 5 Żeromskiego St., 25-369 Kielce, Poland
Author to whom correspondence should be addressed.
This paper is an extended version of our paper published in MaxEnt 2016.
Academic Editor: Geert Verdoolaege
Received: 4 February 2017 / Revised: 21 February 2017 / Accepted: 22 February 2017 / Published: 24 February 2017
(This article belongs to the Special Issue Selected Papers from MaxEnt 2016)
Full-Text   |   PDF [538 KB, uploaded 24 February 2017]   |  


The analysis of high-energy particle collisions is an excellent testbed for the non-extensive statistical approach. In these reactions we are far from the thermodynamical limit. In small colliding systems, such as electron-positron or nuclear collisions, the number of particles is several orders of magnitude smaller than the Avogadro number; therefore, finite-size and fluctuation effects strongly influence the final-state one-particle energy distributions. Due to the simple characterization, the description of the identified hadron spectra with the Boltzmann–Gibbs thermodynamical approach is insufficient. These spectra can be described very well with Tsallis–Pareto distributions instead, derived from non-extensive thermodynamics. Using the q-entropy formula, we interpret the microscopic physics in terms of the Tsallis q and T parameters. In this paper we give a view 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 the center-of-mass energy and particle species (mass). Our findings are described well by a QCD (Quantum Chromodynamics) inspired parton evolution ansatz. Based on this comprehensive study, apart from the evolution, both mesonic and baryonic components found to be non-extensive ( q > 1 ), besides the mass ordered hierarchy observed in the parameter T. We also study and compare in details the theory-obtained parameters for the case of PYTHIA8 Monte Carlo Generator, perturbative QCD and quark coalescence models. View Full-Text
Keywords: non-extensive; entropy; hadron spectrum non-extensive; entropy; hadron spectrum

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Bíró, G.; Barnaföldi, G.G.; Biró, T.S.; Ürmössy, K.; Takács, Á. Systematic Analysis of the Non-Extensive Statistical Approach in High Energy Particle Collisions—Experiment vs. Theory. Entropy 2017, 19, 88.

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