On the precise determination of the Tsallis parameters in proton–proton collisions at LHC energies

A detailed analysis is presented of the precise values of the Tsallis parameters obtained in p–p collisions for identified particles, pions, kaons and protons at the LHC at three beam energies $\sqrt{s}=0.9,2.76$ and 7 TeV. Interpolated data at $\sqrt{s}=5.02$ TeV have also been included. It is shown that the Tsallis formula provides reasonably good fits to the p _T distributions in p–p collisions at the LHC using three parameters dN/dy, T and q. However, the parameters T and q depend on the particle species and are different for pions, kaons and protons. As a consequence there is no m _T scaling and also no universality of the parameters for different particle species. (paper)