In this work we have done an exhaustive study of pion fluctuation in pseudorapidity space, azimuthal space, their cross-correlation using Multifractal Detrended Cross-Correlation Analysis (MF-DXA) method and finally two-dimensional fluctuation in terms of scaling of void probability distribution for the 32S- Ag/Br interaction at 200 GeV incident energy per nucleon by using chaos and complex network-based Visibility Graph method. The highest degree of cross-correlation between pseudorapidity and azimuthal space exists in the most central region of the interaction. Two dimensional void count distribution has been defined in (η-θ) space for all the events in the interaction, where a void is range of (η-θ)-values where no experimental η/θ value falls. The analysis shows that two-dimensional void distribution corresponding to the (η-θ)-space reveals a strong scaling behavior. Both cross-correlation coefficient of MF-DXA and PSVG(Power of the Scale-freeness in Visibility Graph, which is implicitly connected with Hurst exponent) can be effectively used for quantitative assessment of pion production process in a holistic manner.

Authors: Bhaduri,Bhaduri,Ghosh
European physical Journal A (Probable Impact Factor: 2.37)
DOI: 10.1140/epja/i2017-12332-4
Eur. Phys. J. A (2017) 53: 135
Status :Published
Area : Particle Physics