Inequality for Backward Electron- and Muon-Nucleon Scattering at High Momentum Transfer

Abstract

From a sum rule for backward $\nu -p$ scattering, valid only in the limit of large four-momentum transfer $q^2$, we obtain an inequality for backward $e-p$ inelastic scattering which depends upon the commutator of space components of isospin currents. Given chiral $U\left(6\right)\mathrm{}\times U\left(6\right)\mathrm{}$ current algebra, the total backward scattering at fixed large $q^2$ is predicted to be at least as great as that from a point Dirac particle with charge $\pm \frac{1}{2}e$.