Chin. Phys. Lett.  1999, Vol. 16 Issue (8): 553-554    DOI:
Original Articles |
Levy Stability Index from Multifractal Spectrum
HU Yuan;YU Mei-ling;LIU Lian-shou
Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
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HU Yuan, YU Mei-ling, LIU Lian-shou 1999 Chin. Phys. Lett. 16 553-554
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Abstract A method for extracting the Levy stability index μ from the multi-fractal spectrum f(α) in high energy multipar-ticle production is proposed. This index is an important parameter, characterizing the non-linear behaviour of dynamical fluctuations in high energy collisions. Using the random cascading α model as an example, the validity of this method is tested. It is shown that this method, based on a linear fit, is consistent with and more accurate than the usual method, which gets the Levy index through fitting the ratio of qth to 2nd order multi-fractal (Rényi) dimensions to the Peschanski formula.
Keywords: 13.85.Hd     
Published: 01 August 1999
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/Y1999/V16/I8/0553
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