Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e<sup>+</sup>e<sup>-</sup> Collisions

Chin. Phys. Lett.

2002, Vol. 19

Issue (9): 1271-1273 DOI:

Original Articles

Monte Carlo Analysis of the Lévy Stability and Multi-fractal Spectrum in e⁺e^- Collisions

CHEN Gang^1,2; LIU Lian-Shou¹

¹Institute of Particle Physics, Huazhong Normal University, Wuhan 430079 ²Department of Physics, Jingzhou Teacher’s College, Jingzhou 434100

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CHEN Gang, LIU Lian-Shou 2002 Chin. Phys. Lett. 19 1271-1273

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Abstract The Lévy stability analysis is carried out for e⁺e^- collisions at Z⁰ mass using the Monte Carlo method. The Lévy index μ is found to be μ = 1.701±0.043. The self-similar generalized dimensions D(q) and multi-fractal spectrum f(α) are presented. The Rényi dimension D(q) decreases with increasing q. The self-similar multi-fractal spectrum is a convex curve with a maximum at q = 0, α = 1.169±0.011. The right-hand side of the spectrum, corresponding to negative values of q, is obtained through analytical continuation.

Keywords: 13.85.Hd

Published: 01 September 2002

PACS:

13.85.Hd

(Inelastic scattering: many-particle final states)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I9/01271

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