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.
Categories: hep-ph cond-mat