One-parameter cascade model of multiple hadrons production in inelastic hh-processes at high energies

The inhomogeneous cascade-stochastic model of multiple hadrons production in inelastic p-bar p- and pp-interactions at high energies is proposed. In this model inclusive rapidity distributions of secondary hadrons are used as input data. One-parameter cascade-stochastic multiplicity distribution, where adjustable parameter has sense of the height of Feynman plateau of inclusive rapidity distribution of secondary hadrons in one hadron shower, is obtained. It is shown that all known now experimental data concerning both multiplicity and rapidity distributions of secondary particles in inelastic hh-processes in energy range s=30-1800 GeV, and also the ratio of cumulant moments to factorial moments of the multiplicity distributions in energy range s=200-900 GeV are described with high accuracy by one-parameter cascade-stochastic model of multiple hadrons production. The explicit form of asymptotic of distributions as well-known Polyakov-Dokshitzer's scaling function for quark and gluon jets is obtained by fitting of prognosis multiplicity distributions at energies s=14-30 TeV. A simplified quantitative analysis is presented and the qualitative explanation of behavior features of forward-backward multiplicity correlations is given within the framework of proposed model