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

TL;DR

This paper analyzes multifractal spectra and Renyi dimensions in high-energy silicon-nucleus collisions, revealing how these fractal measures vary with moment order and characterizing fluctuations in rapidity space.

Contribution

It provides a systematic analysis of multifractal and Renyi measures in silicon-nucleus collisions, highlighting their behavior and spectral characteristics at high energies.

Findings

Renyi dimensions decrease with increasing q

Multifractal spectra are concave downward with maxima around α_q=1.21

Multifractal spectral function characterizes rapidity fluctuations

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.