Cascade parametrization of multiplicity distributions in inelastic pp- and p̄p-interactions on energy interval in c.m.s. s=20–1800 GeV

Based on Saleh–Teich cascade-stochastic formalism the naı̈ve cascade model of multiple charged particles production in inelastic hadron–hadron collisions at high energies is offered. It is shown that the multiplicity charged particles distributions in inelastic p̄p- and pp-collisions in all the range of ISR- and Sp̄–pS energies up to energy of Fermilab tevatron collider s=1800 GeV are well described by Salech–Teichʹs three-parametrical distribution belonging to a special class of Markovʹs (generally inhomogeneous) branching Neyman–Scott processes. The ST-distribution is obtained in the supposition that on the first stage of interaction (which is described by homogeneous Poisson process) the random number of primary particles (partons, pomerons, strings, etc.) in rapidity space is produced, and on the secondary stage each of primary particles generates inhomogeneous Poisson process of a random number of secondary particles (“grey” hadrons) production. Thus the decolouration of “grey” hadrons happens on a chosen interval, which part plays the maximum rapidity describing the size of “cylindrical phase volume” on the axes of longitudinal impulse. The analysis of fitting results has allowed obtaining the asymptotic dependence of ST-distribution parameters on energy of interaction, which permit to predict the behavior of multiplicity distributions of secondary particles at superhigh energies.