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.
(Inelastic scattering: many-particle final states)
引用本文:
HU Yuan;YU Mei-ling;LIU Lian-shou. Levy Stability Index from Multifractal Spectrum[J]. 中国物理快报, 1999, 16(8): 553-554.
HU Yuan, YU Mei-ling, LIU Lian-shou. Levy Stability Index from Multifractal Spectrum. Chin. Phys. Lett., 1999, 16(8): 553-554.
1999, Vol. 16 
