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.

Keywords

• transverse momentum spectra
• non-extensive
• heavy-ion collisions