Light-Cone Analysis of Spin-Dependent Deep-Inelastic Electron Scattering

Abstract

The light-cone analysis of deep-inelastic electron-proton scattering is extended to non-spin-averaged scattering. Scaling is deduced for the spin-dependent structure functions $M^2\nu G_1$ and $M{\nu }^2{G}_2$. The connection between moments of the scaling functions and matrix elements of operators in the operator-product expansion is described in detail and leads to two sum rules for the scaling functions when the quark light-cone algebra of Fritzsch and Gell-Mann is assumed. Predictions of other models of scaling are briefly compared.