Utilize azimuthal correlation to examine the collective flow influence caused by the reaction between $$^{84}$$ Kr nuclei and emulsion nuclei at 1 A GeV

The expansion and decay of excited and compressed nuclear matter produced in heavy-ion collisions across a broad range of incident energies are largely dependent on collective flow. Hydrodynamic theories suggest that the fluid-like behavior of nuclear matter produces a substantial azimuthal correlation in the particle emission. The greatest opportunity to discover nuclear matter compressibility and, indirectly, the nuclear equation of state is through precise measurements of collective flow. The collective flow of projectile fragments (PFs) of charge \(Z\ge 2\) produced in \(^{84}\)Kr in interacts with emulsion (composite target) and Ag(Br) target at 1 A GeV for \(N_{\text {PF}}\ge 3\) and \(N_{\alpha }\ge 3\) has been evaluated using azimuthal correlation functions. The collective flow is observed to be the most pronounced in semi-central collisions. The amplitude of the collective flow appears to be pretty stable at relativistic energy, according to our observation. Additionally, the obtained outcomes are compared to other existing experimental data.