Multifractal Characteristics of Multiparticle Production in Heavy-Ion Collisions at SPS Energies

TL;DR

This study investigates the multifractal nature of particle production in heavy-ion collisions at SPS energies using entropy-based methods, revealing universal properties and agreement with Monte Carlo models.

Contribution

It introduces two novel methods for analyzing multifractality in multiplicity distributions, independent of detector resolution or bin size, and identifies a potential universal characteristic parameter 'c'.

Findings

Multifractal structure observed in particle multiplicity fluctuations.

The multifractal specific heat 'c' appears universal across different analyses.

Experimental results align well with Monte Carlo simulations.

Abstract

Entropy, dimensions and other multifractal characteristics of multiplicity distributions of relativistic charged hadrons produced in ion-ion collisions at SPS energies are investigated. The analysis of the experimental data is carried out in terms of phase space bin-size dependence of multiplicity distributions following the Takagi's approach. Yet another method is also followed to study the multifractality which, is not related to the bin-width and (or) the detector resolution, rather involves multiplicity distribution of charged particles in full phase space in terms of information entropy and its generalization, R\'{e}nyi's order-q information entropy. The findings reveal the presence of multifractal structure-- a remarkable property of the fluctuations. Nearly constant values of multifractal specific heat, 'c' estimated by the two different methods of analysis followed indicate that the parameter 'c' may be used as a universal characteristic of the particle production in high energy collisions. The results obtained from the analysis of the experimental data agree well with the predictions of Monte Carlo model AMPT.