Study of Levy Stability in Relativistic Heavy-Ion Collisions

• 作者: Muzamil A. Teli Qudsia Gani Shamsul H. Thoker Waseem Bari
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: MULTIFRACTAL Rényi DIMENSIONS Lévy STABILITY
• 年，卷（期）: xdwlyw_2015,（7）
• 页码范围: 912-920
• 页数: 9页
• 分类号: O1

摘要

Multifractal analysis is carried out for the interactions of 4.5 A and 14.5 A GeV/c 28Si beams with emulsion, CNO and AgBr targets using the standard method of Gq moments. The Rényi dimensions Dq are evaluated and the results on self-similar multifractal spectra are presented. The variation of Dq with q is looked into and the findings reveal that the behaviour is in consistency with the multifractal characteristic of the multiplicity distributions in the various interactions studied. The self-similar multifractal spectra are found to be concave downwards with maximum at αq = 0. Further, Lévy stability analysis is carried out for these interactions. The Lévy stability index μ extracted from multifractal spectrum is found to lie in the range [0, 2] in agreement with the Lévy stability theory.