Self-similarity in Fluctuations and Clustering of Multiplicities

Abstract

In this talk we summarize the main results of our recent publication [1], where we describe the observed by the CERN NA49 experiment a non-monotonic behavior of the fluctuations in multiplicity as a function of centrality of the collision using the concept of correlations between produced particles promoting cluster formation. A new element is a use of log-normal distribution for particles in a cluster which emerges naturally when one considers particle production based on bivariate branching scenario [2].