Measurement of $x{F}_3$, $F_2$ 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 ${\int }_0^1{F}_{3}dx=2.13\pm 0.38(stat)\pm 0.26(syst)$. The QCD analysis of xF_3 provides ${\Lambda }_{\overline{MS}}=358\pm 59MeV$ . The obtained value of the strong interaction constant ${\alpha }_S(M_Z)=0.120_{-4}^{+3}$ is larger than most of the deep inelastic scattering results.

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