Background Suppression Criteria in a Fractal Analysis of Monte Carlo AuAu Events at \(\sqrt {{{s}_{{NN}}}} \) = 200 GeV

Abstract

Monte Carlo (MC) \(AuAu\) events at an energy of \(\sqrt {{{s}_{{NN}}}} \) = 200 GeV, obtained using the AMPT generator, MC fractals, and events with randomly distributed particles are analyzed by the \(SePaC\) method. The dependence of the portion \(Prtn\) of the events under study, defined as fractals, on the method parameter \({{P}_{{{\text{Max}}}}}\) is investigated. It has been established that the hypotheses of independent and dependent formation of fractals correspond to different regions of behavior of \(Prtn({{P}_{{{\text{Max}}}}})\) for AMPT \(AuAu\) events. The \(SePaC\) method makes it possible to extract AMPT \(AuAu\) events with equal fractal dimensions \({{D}_{F}}\) at different levels. The distribution of events by \({{D}_{F}}\) are different for used hypotheses. Events identified by the hypothesis of independent devision have a group of leading particles according to \({{p}_{t}}\), and the remaining ones exhibit exponential behavior of the \({{p}_{t}}\) spectrum. The use of background suppression criteria describing the statistical characteristics of structures at different levels showed that a significant part of the events identified by the independent devision hypothesis have the same structures and can be interpreted as fractals. Events reconstructed by the dependent devision hypothesis are suppressed.