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FIZIKA B 16 (2007) 2, 67 - 78
 
FLUCTUATION OF PIONS IN RELATIVISTIC AND ULTRARELATIVISTIC NUCLEAR
COLLISIONS - SCALE DEPENDENT OR NOT?
DIPAK GHOSH, ARGHA DEB and SRIMONTI DUTTA
Nuclear and Particle Physics Research Centre, Department of Physics,
Jadavpur University, Kolkata -700032, India
E-mail address: dipakghosh_in@yahoo.com
Received 2 August 2006; Revised manuscript received 18 May 2007
Accepted 20 June 2007 Online 12 July 2007
Fluctuation pattern of pions is investigated in a wide range of projectile
energy from 4.5 AGeV (24Mg-AgBr interactions) to 200 AGeV (32S-AgBr
interactions). Two-dimensional analysis is performed. To obtain the correct
phase-space partition condition considering anisotropy of phase space, we use
the concept of Hurst exponent H. The analysis is performed in a rigorous way by
fitting one-dimensional factorial moment saturation curves. The effective
fluctuation strength aeff is calculated. The study reveals that
the fluctuation pattern is scale-dependent at both relativistic and
ultrarelativistic energies.
PACS numbers: 25.75.-q, 24.60.Ky UDC 539.172
Keywords: nuclear collisions, fluctuation, self-affinity, self-similarity,
multi-particle production, scale dependence, phase-space dependence, effective
fluctuation strength
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