Multifractality and correlations study in the framework of R/S analysis for ring-like and jet-like events at SPS energies

Abstract

A detailed investigation into the ring-like and jet-like substructures involved in the multiparticle production dynamics has been conducted in light of the rescaled range (R/S) analysis technique. For this investigation, we considered datasets from 32 S– Ag/ Br interactions at 200 AGeV and 16 O– Ag/ Br interactions at 60 AGeV. It intends to find deterministic properties like scale-freeness, multifractality, and correlation among the produced particles by using the concept of Hurst exponent ( H) from the viewpoint of the R/S analysis. In addition to the experimental datasets, comprehensive comparisons were conducted between Monte Carlo simulated datasets and the actual measurements. The analysis yielded intriguing findings regarding the scale-freeness and multifractality properties of the multiparticle production process observed in 32 S– Ag/ Br interactions at 200 AGeV and 16 O– Ag/ Br interactions at 60 AGeV. Furthermore, the study revealed multifractal properties and correlations among the ring-like and jet-like events. Our findings demonstrate that the R/S analysis proposed in this study is also a superior methodology for examining the various properties of multiparticle production dynamics.