Data on the Gross-Llewellyn Smith Sum Rule as a Function ofq2

Abstract

Data are presented on the Gross-Llewellyn Smith sum rule obtained from combined narrow-band neon and Freon bubble-chamber neutrino-antineutrino experiments. Remarkably no significant deviation from the parton-model prediction for the sum rule is observed at very low values of $q^2\lesssim 1$ Ge${\mathrm{V}}^2$. Limits on the effective QCD scale parameter $\Lambda$ and on the magnitude of the twist-4 correction are set. The best fit, neglecting higher-twist contributions, gives $\Lambda ={92}_{-36\mathrm{}}^{+20\mathrm{}}$ MeV.