On Multifractal Spectra and Renyi Dimensions in 14.5A GeV/c $^{28}$Si-nucleus Collisions

Abstract

A systematic analysis of the data on 14.5A GeV/c $^{28}$Si-nucleus collisions is carried out to investigate the behaviours of Renyi dimensions, Dq and Multifractal Spectral Function, $f(\alpha_q)$. The Renyi dimensions, $D_q$, are observed to decrease with increasing order of the moments, $q$. However, the Multifractal Spectra are concave downwards with their maxima occurring around $\alpha_q = 1.21 \pm 0.01$. A continuous curve representing Multifractal Spectral Function, $f(\alpha_q)$, characterizes manifestation of fluctuations in the rapidity space.