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

A. M. Tawfik·E. Ganssauge
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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, $ϕ_q$, are observed. The exponents, $ϕ_q$, are compared with the anomalous dimensions, $d_q$. Then they are expressed in terms of Lévy stable indices, $μ$. Meanwhile the experimental data within the interval, $2<η<6$, fulfills the requirements of the Lévy stable region ($0 \le μ\le 2$), the results from the other intervals are away from this region. All their corresponding indices have negative values.

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A. M. Tawfik, E. Ganssauge. 2000-12-01. Levy Stable Law Description of the Intermittent Behavior in Pb+Pb Collisions at 158 AGeV/c. https://arxiv.org/abs/hep-ph/0012008

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