Comparative Multi Fractal De-trended Fluctuation Analysis of heavy ion interactions at a few GeV to a few hundred GeV

TL;DR

This study investigates the multifractal nature of pion emission in heavy ion collisions across various energies and projectiles, revealing long-range correlations and how multifractality varies with projectile mass and energy.

Contribution

It applies Multifractal Detrended Fluctuation Analysis to heavy ion collision data, demonstrating the multifractal properties and their dependence on projectile mass and energy.

Findings

Pion emission distribution is multifractal across all interactions.

Long-range correlations are present in the data.

Multifractality decreases with projectile mass and increases with energy.

Abstract

We have studied the multifractality of pion emission process in 16O-AgBr interactions at 2.1AGeV & 60AGeV, 12CAgBr &24Mg-AgBr interactions at 4.5AGeV and 32S-AgBr interactions at 200AGeV using Multifractal Detrended Fluctuation Analysis (MFDFA) method which is capable of extracting the actual multifractal property filtering out the average trend of fluctuation. The analysis revels that the pseudo rapidity distribution of the shower particles is multifractal in nature for all the interactions i.e. pion production mechanism has in built multi-scale self-similarity property. We have employed MFDFA method for randomly generated events for 32S-AgBr interactions at 200 AGeV. Comparison of expt. results with those obtained from randomly generated data set reveals that the source of multifractality in our data is the presence of long range correlation. Comparing the results obtained from different interactions, it may be concluded that strength of multifractality decreases with projectile mass for same projectile energy and for a particular projectile it increases with energy. The values of ordinary Hurst exponent suggest that there is long range correlation present in our data for all the interactions.