Ising fluctuations for the intermittent and scaling behaviors of high energy multiparticle productions

We have derived explicitly the factorial moments in the one-dimensional Ising model on the lattice and shown that they have intermittency. In the continuum limit, we show that the intermittency persists and scaling relations emerge among factorial moments. Multiparticle production in hadronic scatterings are effectively one-dimensional distributions in the rapidity variable. By introducing a parameter relating the lattice sites to experimental rapidity bins, in addition to the two parameters in the Ising model which are fixed by average multiplicity and its dispersion , we can fit the intermittent patterns of multiparticle productions in a few different high energy nuclear scatterings. We also present the nuclear-emulsion data in scaling plots. It will be interesting to further test such intermittency and scaling behavior with more accurate data and in other high energy hadronic particle experiments. (orig.)