Search for Fractal Structures in Monte Carlo AuAu Events at an Energy of 200 GeV by the SePaC Method

Abstract

Fractals, random, and AMPT AuAu events are analyzed using the \(SePaC\) method. Transverse momenta \({{p}_{{\text{t}}}}\) of negatively charged particles are examined in five centrality classes. Fractal AuAu events with independent partition are shown to feature several narrow peaks in the spectrum of fractal dimensions \({{D}_{{\text{F}}}}\) and a separated group of leading particles in transverse momentum \({{p}_{{\text{t}}}}\) for all events and to satisfy the criteria that describe statistical properties. Remaining events exhibit exponential behavior of the \({{p}_{{\text{t}}}}\) spectrum. Fractal AuAu events with dependent partition have a broad peak in the \({{D}_{{\text{F}}}}\) spectrum and are suppressed by selection criteria.