Levy Stability Index from Multifractal Spectrum

A method for extracting the Levy stability indexμfrom 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 cascadingαmodel 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.