Salient Features of High-Energy Multiparticle Distributions Learned from Exact Solutions of 1-d Ising Model

Details Salient Features of High-Energy Multiparticle Distributions Learned from Exact Solutions of 1-d Ising Model Salient Features of High-Energy Multiparticle Distributions Learned from Exact Solutions of 1-d Ising Model

1993-05-07

arxiv.org/abs/hep-ph/9305221v1

Phys.Rev.Lett. 70 (1993) 3380-3383

Physics

High Energy Physics

High Energy Physics - Phenomenology

UCDPHYS-92-13 phyzzx 9 pages, 5 figures available upon request

Scientific paper

10.1103/PhysRevLett.70.3380

We have derived explicit expressions in the 1-d Ising model for multiplicity distributions $P_{\del\xi}(n)$ and factorial moments $F_q(\del\xi)$. We identify the salient features of $P_{\del\xi}(n)$ that lead to scaling, $F_q(\del\xi)=\F_q[F_2]$, and universality. These results compare well with the presently available high-energy data of $\bar{p}p$ and $e^+e^-$ reactions. We point out the important features that should be studied in future higher-energy experiments of multiparticle productions in $pp$, $\bar{p}p$, $ep$, $e^+e^-$, and $NN$. We also make comments on comparisons with KNO and negative-binomial distributions.

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