A Study of Multifractal Analysis in 16O-AgBr Collisions at 60A and 200A GeV

TL;DR

This study applies multifractal analysis to 16O-AgBr collision data at 60A and 200A GeV to reveal self-similar multiparticle production dynamics through power-law behavior and multifractal spectra.

Contribution

It introduces a detailed multifractal analysis of high-energy nuclear collisions, highlighting the self-similar nature of multiparticle production at different energies.

Findings

Power-law behavior observed in multifractal moments.

Multifractal dimension Dq decreases with increasing q.

Spectral function f(α) shows a downward concave curve with a maximum at q=0.

Abstract

A multifractal analysis to study the multiparticle dynamics in 60A and 200A GeV/c 16O-AgBr collisions has been performed in the pseudorapidity phase space. Multifractal moments Gq as the function of pseudorapidity bin size for different order of the moments, q have been calculated. The power-law behaviour has been observed in the considered data sets. The variation of multifractal dimensions, Dq and multifractal spectral function, f($\alpha$q) with order of the moments, q have been studied thoroughly. Dq is found to decrease with increasing order of the moments, q indicating thereby a self-similar behaviour in the multiparticle production in the considered collisions. We have also found a concave downward curve of multifractal spectral function with maxima q=0.