The main focus of this work is on the systematic examination of the dynamical fluctuation detectable by two-particle rapidity correlations \(\sigma _{c}^{2}\) in the forward–backward (FB) pseudo-rapidity windows by analyzing the experimental data obtained from the interactivity of \(^{84}\) Kr nuclei with AgBr target nuclei of nuclear emulsion detector (NED) at 1 A GeV. The FB multiplicity fluctuation of created pions in NED has been also conducted using the highly intense quantity technique \(\Sigma _{FB}\) . The results are compared with other available experimental observations and found to be consistence. When compared to the higher energy data that have been previously analyzed, the results on very intensive fluctuation measures at a lower energy show substantially more variations.
