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The present paper reports on the methods of the systematic analysis of the high-energy collision distributions—in particular, those adopted by Jean Cleymans. The analysis of data on high-energy collisions, using non-extensive statistics, represents an important part of Jean Cleymans scientific activity in the last decade. The methods of analysis, developed and employed by Cleymans, are discussed and compared with other similar methods. As an example, analyses of a set of the data of proton-proton collisions at the center-of-mass energies, s = 0.9 and 7 TeV, are provided applying different methods and the results obtained are discussed. This line of research has the potential to enlarge our understanding of strongly interacting systems and to be continued in the future. [ABSTRACT FROM AUTHOR]

In this paper, in the scope of a non-extensive statistical model for the nucleon's structure function, the volume of the gluons in the nucleons and the relations among the temperature, T, the parameter "q" of Tsallis statistics, and the scattering energies, Q 2 , are studied. A system of equations with the usual sum rules are solved for the valence quarks, the experimental results for the polarized structure function, and the estimated carried moments for gluons and quarks. Each state of T and q leads to a set of chemical potentials and different radii for gluons and quarks. We conclude that gluons must occupy a larger volume than the quarks to fit the fraction of the total momentum. A linear function of the temperature with Q 2 is obtained as an approach. The obtained range of temperatures is different from the previous models. [ABSTRACT FROM AUTHOR]