Model Investigation of Transverse Momentum Cumulants of Different Orders in Nuclear-Nuclear Collisions

In this research, we analyze transverse momentum cumulants of different orders ( $${{K}_{n}}$$ ) for charged inclusive hadrons produced in $${\text{Bi}} + {\text{Bi}}$$ collisions using the UrQMD-3.4 model events. The analysis is carried out in two ways: with the standard method, in which the study is carried out over the entire rapidity interval, and also with the sub-event method, which suppresses the influence of short-range correlations. Dependencies of second-, third-, and fourth-order cumulants on collision energy were obtained. The paper also provides a comparison of $$p + p$$ and $${\text{Bi}} + {\text{Bi}}$$ collisions that indicated the simultaneous saturation for both systems at $$\sqrt {{{s}_{{NN}}}} \approx 5$$ GeV.