Levy Stable Law Description of the Intermittent Behavior in Pb+Pb Collisions at 158 AGeV/c

Abstract

The factorial moments (FM) of multiplicity distributions in one- and two-dimensions are studied for Pb+Pb collisions at 158 AGeV/c. The results are compared with FRITIOF, RQMD and VENUS predictions. In the relation between FM and the number of partitions, $M$, obvious {\it positive} intermittence exponents, $\phi_q$, are observed. The exponents, $\phi_q$, are compared with the anomalous dimensions, $d_q$. Then they are expressed in terms of L\'evy stable indices, $\mu$. Meanwhile the experimental data within the interval, $2<\eta <6$, fulfills the requirements of the L\'evy stable region ($0 \le \mu \le 2$), the results from the other intervals are away from this region. All their corresponding indices have negative values.