We deduce the particle distributions in particle collisions with multihadron-production in the framework of mechanical statistics. They are derived as functions of x, P_T^2 and the rest mass of different species for a fixed total number of all produced particles, inelasticity and total transverse energy. For P_T larger than the mass of each particle we get the behaviour frac{dn_i}{dP_T} sim sqrt{P_T} e^{-frac{P_T}{T_H}} Values of <P_T>_pi, <P_T>_K, and <P_T>_{bar{p}} in agreement with experiment are found by taking T_H=180MeV (the Hagedorn temperature).
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