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

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