Study of Fractality and Chaoticity in Central 4.5A GeV/c C-Cu Collisions

Abstract

Multifractality of charged particle pseudorapidity distributions is analyzed in central collisions of carbon and copper nuclei at 4.5 GeV/c per nucleon. Within the method of normalized factorial moments, modified to remove the bias of infinite statistics in the normalization, intermittency-like behavior (scaling) is observed up to eight-particle fluctuations. The study indicates a possible non-thermal phase transition inside cascading and two different regimes presented in multiparticle production. Dynamics of fractal structure formation is further studied using the chaoticity approach recently proposed. The distributions of the horizontal factorial moments are considered and a scaling behavior, referred to as erraticity, of the normalized moments of the distributions is obtained. The corresponding entropy indices are calculated indicating chaotic nature of multiparticle production with a specific self-similar structure.