Study of Void Probability Scaling of Singly Charged Particles Produced in Ultrarelativistic Nuclear Collision in Fractal Scenario

TL;DR

This study investigates the fractal nature of void probability distributions in ultrarelativistic nuclear collisions using Visibility Graph analysis, revealing strong scaling behavior and a dependence of the scaling exponent on rapidity window size.

Contribution

It introduces the use of Visibility Graph analysis to study void probability scaling in nuclear collisions, providing a new quantitative measure called PSVG.

Findings

Void probability distribution exhibits strong scaling behavior.

The PSVG parameter depends on the rapidity window size.

Visibility Graph analysis effectively captures fractal properties in collision data.

Abstract

In this paper, we study the fractality of void probability distribution measured in $^{32}$S-Ag/Br interaction at an incident energy of $200$ GeV per nucleon. A radically different and rigorous method called \textit{Visibility Graph} analysis is used. This method is shown to reveal a strong scaling character of void probability distribution in all pseurorapidity regions. The scaling exponent, called the Power of the Scale-freeness in Visibility Graph(PSVG), a quantitative parameter related to Hurst exponent, is strongly found to be dependent on the rapidity window size.