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

Abstract

We have derived explicit expressions in the 1-d Ising model for multiplicity distributions $P_{\text{del}\xi }(n)$ and factorial moments $F_q(\text{del}\xi )$. We identify the salient features of $P_{\text{del}\xi }(n)$ that lead to scaling, $F_q(\text{del}\xi )={\text{F}}_q[F_2]$, 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.

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