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

Deep-inelastic neutrino-deuteron scattering is considered in the covariant approach in light-cone variables. The deuteron structure function F3D(x, Q2) in the relativistic impulse approximation is calculated 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 RFDN = F3DF3N is estimated. The dependence of the ratio on x and Q2 and of the Gross-Llewellyn Smith integral SGLS(x, Q2) on x and Q2 is considered. On the basis of QCD analysis of the xF3N structure function, the correction to SGLS(x, Q2) for the nuclear effect is estimated.