Nuclear effect in deuteron, Q2-evolution of F3N(x,Q2) structure function and Gross-Llewellyn Smith sum rule

Deep inelastic neutrino-deuteron scattering in the covariant approach in the light-cone variables is considered. The deuteron structure function F3D(x,Q2) is calculated in the relativistic impulse approximation on the basis of the relativistic wave function. The results are compared with available experimental data. The nuclear effect of relativistic Fermi motion described by the ratio RFD/N = F3D/F3N is estimated. The dependence of the ratio on x and Q2 is investigated. The dependence of the Gross-Llewellyn Smith integral SGLS(x,Q2) on x and Q2 is considered. On the basis of the QCD analysis of the xF3N structure function the correction for SGLS(x,Q2) due to the nuclear effect is estimated and it is shown that the nuclear effect should be taken into account to verify the Gross-Llewellyn Smith sum rule. 25 refs., 4 figs., 2 tabs