Semi-inclusive analysis of multiparticle production in h-h collisions √s=16.7 GeV in terms of universal multifractals

A semi-inclusive analysis of multiparticle production in h-h collision at √s=16.7 Gev is performed using a model-independent approach based on universal multifractals. The multiplicities range from Nch=6 to Nch=20. The data have been collected at the Fermilab Tevatron. The multiple scaling of probability distributions is investigated first. Then universal multifractal forms for the codimension function c(γ) and the moment's scaling function K(q) are derived and the Levy index α, the degree of multifractality, is experimentally determined together with the codimension of the mean field C1. The data display Log-Levy type statistics with bounded singularities, the peculiarities of a conditionally soft-hard multifractal process. The degree of multifractality increases with increasing multiplicity, but these data are not inconsistent with α remaining below unity