Hadron Spectra Parameters within the Non-Extensive Approach

Abstract

We investigate how the non-extensive approach works in high-energy physics. Transverse momentum ($p_T$) spectra of several hadrons are fitted by various non-extensive momentum distributions and by the Boltzmann--Gibbs statistics.~It is shown that some non-extensive distributions can be transferred one into another.~We find explicit hadron mass and center-of-mass energy {scaling both in the temperature and in the non-extensive parameter, $q$,} in proton--proton and heavy-ion collisions. We find that the temperature depends linearly, but the Tsallis $q$ follows a logarithmic dependence on the collision energy in proton--proton collisions. In the nucleus--nucleus collisions, on~the other hand, $T$ and $q$ correlate linearly, as was predicted in our previous work.

8 pages, 3 figures

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• Multiplicity dependence of the freezeout parameters in high energy hadron-hadron collisions
• Temperature fluctuations and Tsallis statistics in Relativistic Heavy Ion collisions
• On nonadditive anisotropic relativistic hydrodynamics
• How far can we see back in time in high-energy collisions using charm hadrons?
• An appropriate statistical approach for nonequilibrium particle production