Comparison of Tsallis statistics with the Tsallis-factorized statistics in the ultrarelativistic $pp$ collisions

Abstract

The Tsallis statistics was applied to describe the experimental data on the transverse momentum distributions of hadrons. We considered the energy dependence of the parameters of the Tsallis-factorized statistics, which is now widely used for the description of the experimental transverse momentum distributions of hadrons, and the Tsallis statistics for the charged pions produced in $pp$ collisions at high energies. We found that the results of the Tsallis-factorized statistics deviate from the results of the Tsallis statistics only at low NA61/SHINE energies when the value of the entropic parameter is close to unity. At higher energies, when the value of the entropic parameter deviates essentially from unity, the Tsallis-factorized statistics satisfactorily recovers the results of the Tsallis statistics.

arXiv comment8 figures. arXiv admin note: text overlap with arXiv:1607.01956

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• Analyses of whole transverse momentum distributions in $p\bar{p}$ and $pp$ collisions by using a modified version of Hagedorn's formula
• Transverse momentum spectra of hadrons in high energy pp and heavy ion collisions
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Extensive/nonextensive statistics for $p_T$ distributions of various charged particles produced in p+p and A+A collisions in a wide range of energies
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Analytical Results for the Classical and Quantum Tsallis Hadron Transverse Momentum Spectra: the Zeroth Order Approximation and beyond
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Nonextensive statistics based on Landsberg-Vedral entropy