Density correlators in a self-similar cascade

TL;DR

This paper derives explicit formulas for multivariate density correlators in a self-similar cascade, simplifying previous results and facilitating comparison with experimental multiparticle data.

Contribution

It provides new, simplified expressions for density correlators in a self-similar cascade, extending prior work on logarithmic correlators.

Findings

Explicit formulas for density correlators derived

Simpler form compared to previous logarithmic correlators

Facilitates comparison with experimental data

Abstract

Multivariate density moments (correlators) of arbitrary order are obtained for the multiplicative self-similar cascade. This result is based on the calculation by Greiner, Eggers and Lipa (reference [1]) where the correlators of the logarithms of the particle densities have been obtained. The density correlators, more suitable for comparison with multiparticle data, appear to have even simpler form than those obtained in [1].