Manifestation of Nuclear Effects in the Fractal Analysis AMPTA of AuAu Events at 200 GeV by the SePaC Method

In this paper, the manifestation of nuclear effects in the fractal analysis of Monte Carlo AMPT AuAu events at an energy $$\\sqrt {{{s}_{{NN}}}} $$ = 200 GeV was studied. The transverse momenta $${{p}_{{\\text{t}}}}$$ of particles were analyzed by SePaC method in five centrality classes. It was established that the selected fractal events have a complex $${{p}_{{\\text{t}}}}$$ spectrum, and the spectrum of non-fractal events can be fitted with an exponential function in the interval from 2 to 4 GeV/c and has the same slope for the events with a centrality of 0–30%. When final-state interaction and nuclear shadowing are turned off, spectrum slope constancy is violated. The generation of quark “back-to-back” jets increases the slope of the $${{p}_{{\\text{t}}}}$$ spectrum of non-fractal events and the yield of hadrons in the region of 2.2–3.0 GeV/c in fractal events. The production of quark-antiquark jets accompanied by pions does not change the behavior of $${{p}_{{\\text{t}}}}$$ spectra of fractal events but decreases the slope of the spectrum of non-fractal events in peripheral collisions.