A Study of Multifractal Spectra and Renyi Dimensions in 14.5A GeV/c 28Si-Nucleus Collisions

Abstract

A systematic analysis of the data on 14.5A GeV/c 28Si-nucleus collisions is carried out to investigate the behaviours of Renyi dimensions, Dq and Multifractal Spectral Function, f(αq). The Renyi dimensions, Dq are observed to decrease with increasing order of the moments, q. However, the Multifractal Spectra are concave downwards with their maxima occurring around αq =1.21±0.01. A continuous curve representing Multifractal Spectral Function, f(αq), characterizes manifestation of fluctuations in the rapidity space.

Share and Cite:

Ahmad, N. , Kamal, A. , Khan, M. , Hushnud,  . and Tufail, A. (2014) A Study of Multifractal Spectra and Renyi Dimensions in 14.5A GeV/c 28Si-Nucleus Collisions. Journal of Modern Physics, 5, 1288-1293. doi: 10.4236/jmp.2014.514129.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Burnet, T.H. (JACEE Collaboration) (1983) Physical Review Letters, 50, 2062.
http://dx.doi.org/10.1103/PhysRevLett.50.2062
[2] Bials, A. and Peschnski, R. (1986) Nuclear Physics B, 273, 703-718.
http://dx.doi.org/10.1016/0550-3213(86)90386-X
[3] Peschanski, R. (1996) International Journal of Modern Physics A, 6, 368.
[4] Hwa, R.C. (1990) Physical Review D, 41, 1456.
[5] Jain, P.L., Singh, G. and Mukhoupadhyay, A. (1992) Physical Review C, 46, 721.
http://dx.doi.org/10.1103/PhysRevC.46.721
[6] Shivpuri, R.K. and Verma, V.K. (1993) Physical Review D, 47, 123.
http://dx.doi.org/10.1103/PhysRevD.47.123
[7] Hwa, R.C. and Pan, J.C. (1992) Physical Review D, 45, 1476.
http://dx.doi.org/10.1103/PhysRevD.45.1476

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.