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

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

2000-12-01

arxiv.org/abs/hep-ph/0012008v1

Heavy Ion Phys. 12 (2000) 53

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 11 postscript figures, 2 tables

Scientific paper

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.

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