Gaussian Distributions in Electroproduction and Inclusivee+e−Annihilation

Abstract

In a large class of theories, including asymptotically free theories, and theories with an eigenvalue for the coupling constant, it is shown that under an important uniformity assumption, the electroproduction and inclusive annihilation structure functions should, for large $Q^2$, be Gaussian in the variable $y=\ln \omega$. The average and width of the distribution are increasing functions of $Q^2$. This result is compared with preliminary data from SPEAR on the one-particle inclusive distributions.