DESCRIPTION OF ACCELERATOR AND COSMIC-RAY DATA IN TERMS OF RELATIVISTIC HADRON THERMODYNAMICS

Evidences for thermodynamical description of relativistic hadrons are presented. Relativistic hadron distribution does not obey any known st atistics, though a prevailing term leads to Stephan - Boltzmann type e quation of state. A common hadron state asymptotic regime is compatibl e with S-matrix models describing the low energy accelerator data with Pomeron exchange phenomenology. The gross features of giant showers c an be explained in the frame of relativistic hadron thermodynamics. It cannot be achieved by S-matrix models with additional production of m ini-jets.