Measurement of $xF_3$, $F_2$ Structure Functions and Gross--Llewellyn Smith Sum Rule with IHEP--JINR Neutrino Detector

Abstract

The isoscalar structure functions xF_3 and F_2 are measured as functions of x averaged over all Q^2 permissible for the range 6 to 28 GeV of incident (anti)neutrino energy. With the measured values of xF_3, the value of the Gross-Llewellyn Smith sum rule is found to be $\int_{0}^{1}{F_3 dx} = 2.13\pm0.38 (stat)\pm 0.26 (syst)$. The QCD analysis of xF_3 provides $Λ_{\overline{MS}} =358 \pm 59 MeV$ . The obtained value of the strong interaction constant $α_S (M_Z)=0.120^{+3}_{-4}$ is larger than most of the deep inelastic scattering results.