Deep-Inelastic Neutrino Scattering in a Resonance Model

Abstract

Deep-inelastic neutrino scattering is investigated in the framework of a direct-channel resonance model. Using empirical properties of the baryon spectrum and making a universality hypothesis for the transition form factors, we deduce that in the Bjorken limit the structure functions $W_1$, $\nu W_2$, and $\nu W_3$ become functions of the scale variable (ratio of center-of-mass energy to momentum transfer) alone. By imposing generalized Goldberger-Treiman-Nambu relations on the axial-vector transition matrix elements and fixing the coupling constants from low-energy experiments, we predict all structure functions without free parameters. The predictions of the theory are compared with neutrino scattering data obtained at CERN. Good agreement is found between theory and experiment in the deep-inelastic region.