Dimensionality analysis of multiparticle production at high energies

Abstract

An algorithm for the analysis of multiparticle final states is offered. By the Renyi dimensionalities, which were calculated according to experimental data, either the hadron distribution over rapidity intervals or the particle distribution in an N-dimensional momentum space, we can judge the degree of correlation of particles, separate the momentum-space projections and areas where probability measure singularities are observed. The method is tested in a series of calculations with samples of fractal object points and with samples obtained by means of different generators of pseudo- and quasi-random numbers.