Description
The work represents the bin-bin correlation using factorial correlator in pp interactions at √s = 5.02 TeV taking into account the pseudorapidity dependence and centrality i.e. from most central to mid-central (0-10%, 10-20%, 20-30%, 30-40%, 40-50%) and Minimum bias (MB) events. To generate data sets, the study uses the Monte Carlo-based heavy-ion event generator called A Multi-Phase Transport (AMPT) model in string-melting and default mode. In this study, we have considered the pseudorapidity interval of width twelve (i.e. ∆η =12) around the peak of the η distribution for the generated data samples of pp collisions by the AMPT model at c.m. energy √s = 5.02 TeV for different centrality. To analyze the properties of the factorial correlators at different bin widths, the considered phase space has been subdivided into 40 and 20 bins of widths δη = 0.3 and 0.6 respectively. The slope values are extracted from the linear fit in the region 0.3 ≤ D ≤ 3, and 0.6 ≤ D ≤ 6 for bin width δη = 0.3 and 0.6 respectively for various order of the factorial correlators. The data shows strong correlation with decreasing bin-bin separation D, supporting the validity of log-normal approximation and α model. It also demonstrates the strength of the correlation from most central to mid-central is consistent with log normal approximation. It is interesting to note that with change in δη , no major substantial difference has been observed from most central to mid-central and MB events.
