Deep inelastic sum rules in source theory

Abstract

An earlier paper showed that Adler's neutrino sum rule was reasonably well satisfied by source theoretic structure functions, and a new derivation was produced that made no use of operator-valued currents. Here, we supply new derivations for the Gross-Llewellyn-Smith and Bjorken sum rules, with the intention of denying the assertion that they are consequences of, and constitute tests for the validity of speculative hypotheses concerning inner hadronic structure. The essential tool is the well-established technique of imbedding kinematic transformations in a dynamical framework. A previously proposed source theory structure function, incorporating a rather arbitrary diffraction factor, somewhat overstates the GLS integral; a simple modification designed to satisfy the sum rule improves the agreement with experiment of the structure function. Acceptance of the Bjorken sum rule implies a value of a structure function integral an order of magnitude larger than that provisionally assumed. The modifications required to satisfy the sum rule retain agreement with the recently announced deep inelastic polarization measurements.