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Multifractality in relativistic charged particles produced at SPS energies.

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Title: Multifractality in relativistic charged particles produced at SPS energies.
Authors: Rasool, Mir Hashim1 hrasool23@gmail.com, Ahmad, Shafiq1
Source: Chaos, Solitons & Fractals. Mar2016, Vol. 84, p58-68. 11p.
Subjects: Charged particle accelerators, SIMSCRIPT (Computer program language), Multifractals, Mathematical functions, Comparative studies
Abstract: The multifractal analysis of relativistic shower particles produced in 32 S–emulsion interactions at 200 AGeV has been investigated using the method of modified multifractal moments, G q , in pseudo-rapidity space. The anomalous fractal dimension, d q , and generalized fractal dimensions, D q , are determined for the present data for different order of moment. The experimental data reflects multifractal geometry in a multipion production process. The downward concave shape of the multifractal spectral function, f ( α q ), gives an evidence for self-similar cascade mechanism. The multifractal specific heat has also been evaluated for the present data using the generalized fractal dimensions, D q . We compared our experimental results with those obtained from simulated events of the Lund Monte Carlo Code FRITIOF and uncorrelated Monte Carlo events, (MC-RAND) generated randomly in pseudorapidity space based on the assumption of independent emission of particles. The experimental data on multifractality has been found to exhibit a remarkable proximity to the analogous data obtained from the FRITIOF code and the uncorrelated Monte Carlo events. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:The multifractal analysis of relativistic shower particles produced in 32 S–emulsion interactions at 200 AGeV has been investigated using the method of modified multifractal moments, G q , in pseudo-rapidity space. The anomalous fractal dimension, d q , and generalized fractal dimensions, D q , are determined for the present data for different order of moment. The experimental data reflects multifractal geometry in a multipion production process. The downward concave shape of the multifractal spectral function, f ( α q ), gives an evidence for self-similar cascade mechanism. The multifractal specific heat has also been evaluated for the present data using the generalized fractal dimensions, D q . We compared our experimental results with those obtained from simulated events of the Lund Monte Carlo Code FRITIOF and uncorrelated Monte Carlo events, (MC-RAND) generated randomly in pseudorapidity space based on the assumption of independent emission of particles. The experimental data on multifractality has been found to exhibit a remarkable proximity to the analogous data obtained from the FRITIOF code and the uncorrelated Monte Carlo events. [ABSTRACT FROM AUTHOR]
ISSN:09600779
DOI:10.1016/j.chaos.2016.01.005