Non-extensive statistical models of hadronization

One of the greatest enigmas in relativistic heavy ion research is the process converting the oriented and collective kinetic energy of bombardment into a number of particles showing thermal looking spectra – without the presence of a real heat container and without enough time for particle collisions.
In this talk our recent results on constructing additive entropy formulas with finite system corrections will be reviewed, with selected simple model calculations resulting in exponential or cut power-law single particle spectra.