We investigate how the non-extensive approach works in high-energy physics. Transverse momentum (
) 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
correlate linearly, as was predicted in our previous work.
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