Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies

TL;DR

This paper analyzes LHC data to determine the non-extensivity parameter in a thermodynamical model of hadronic interactions, showing a smooth energy dependence and potential asymptotic behavior.

Contribution

It provides the first determination of the Tsallis non-extensivity parameter at LHC energies, confirming its smooth energy dependence and possible asymptotic limit.

Findings

Non-extensivity parameter increases smoothly with energy.

The energy dependence of q is consistent with theoretical expectations.

Evidence suggests the approach to an asymptotic limit at high energies.

Abstract

The LHC measurements above SPS and Tevatron energies give the opportunity to test predictions of non-extensive thermodynamical picture of hadronic interaction to examine measured transverse momenta distributions for new interaction energy range. We determined Tsallis model non-extensivity parameter for the hadronization process before short-lived particles decayed and distort the initial p_t distribution. We have shown that it follows exactly smooth rise determined at lower energies below present LHC record. The shape of the q parameter energy dependence is consistent with expectations and the evidence of the asymptotic limit may be seen.