Abstract
By combining the method for asymptotic sum rules with the method of Fubini and Furlan, we relate the structure functions and in inelastic lepton-nucleon scattering to matrix elements of commutators of currents at almost equal times at infinite momentum. We argue that the infinite-momentum limit for these commutators does not diverge, but may vanish. If the limit is nonvanishing, we predict and as and tend to . From a similar analysis for neutrino processes, we conclude that at high energies the total neutrino-nucleon cross sections rise linearly with neutrino laboratory energy until nonlocality of the weak current-current coupling sets in. The sum of and cross sections is determined by the equal-time commutator of the Cabibbo current with its time derivative, taken between proton states at infinite momentum.
- Received 30 September 1968
DOI:https://doi.org/10.1103/PhysRev.179.1547
©1969 American Physical Society