Hadronization within the non-extensive approach and the evolution of the parameters

We review transverse momentum distributions of various identified charged particles stemming from high energy collisions fitted by various non-extensive distributions as well as by the usual Boltzmann-Gibbs statistics. We investigate the best-fit formula with the obtained χ${}^2$/ndf values. We find that the physical mass and $\sqrt{s}$ scaling become more explicit with heavier produced hadrons in both proton-proton and heavy-ion collisions. The spectral shape parameters, in particular the temperature T and the non-extensive Tsallis parameter q, do exhibit an almost linear dependence with the centrality-dependence in heavy-ion collisions.