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Multifractal analysis of 4.1A GeV/c22Ne and 4.5A GeV/c28Si collisions with emulsion

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Il Nuovo Cimento A (1971-1996)

Summary

The fractal or intermittent behaviour has been investigated for the non-peripheral collisions of 4.1AGeV/c22Ne and 4.5AGeV/c28Si with emulsion using the scaled factorial moments and the multifractals in the pseudorapidity, the azimuthal angle and in the two-dimensional phase spaces. The reduced scaled factorial moments as a function of the bin size in pseudorapidity, azimuthal angle and the pseudorapidity-azimuthal angle spaces have been calculated and have revealed the presence of an intermittent behavior. It has been shown that the magnitude of the anomalous fractal dimension increases with the rank of the moment in all the investigated spaces. In the relation between the intermittency parameter and the rank of the moment, no obvious minimum has been observed. However, in the azimuthal angle space for28Si data, a flattening is seen around the value 4 for the rank of the moment. The analysis of the present data may indicate the random cascading property of the reactions. The results do not give a clear signal for the coexistence of two phases of the self-similar cascade.

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Authors and Affiliations

  1. Physics Department, Faculty of Science, Cairo University, Giza, Egypt

    A. El-Naghy & S. A. H. Abou-Steit

  2. Physics Department, Faculty of Science, South Valley University, Sohag, Egypt

    M. Mohery

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  1. A. El-Naghy
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  2. S. A. H. Abou-Steit
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  3. M. Mohery
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El-Naghy, A., Abou-Steit, S.A.H. & Mohery, M. Multifractal analysis of 4.1A GeV/c22Ne and 4.5A GeV/c28Si collisions with emulsion. Il Nuovo Cimento A (1971-1996) 110, 1381–1393 (1997). https://doi.org/10.1007/BF03185561

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  • DOI: https://doi.org/10.1007/BF03185561

PACS 29.40.Rg

PACS 25.70

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