Nuclear Effects In The F3 Structure Function For Finite And Asymptotic Q

We study nuclear effects in the structure function F3 which describes the parity violating part of the charged-current neuitrino nucleon deep inelastic scattering. Starting from a covariant approach we derive a factorized expression for the nuclear structure function in terms of nuclear spectral function and off-shell nucleon structure functions valid for arbitrary momentum transfer Q and in the limit of weak nuclear binding, i.e. when a nucleus can be treated as a non-relativistic system. We develop a systematic expansion of nuclear structure functions in terms of Q−2 series caused by nuclear effects (“nuclear twist” series). Basing on this expansion we calculate nuclear corrections to the Gross-Llewellyn-Smith sum rule as well as to higher moments of F3. We show that corrections to the GLS sum rule due to nuclear effects cancel out in the Bjorken limit and calculate the corresponding Q−2 correction. Special attention is payed to the discussion of the off-shell effects in the structure functions. A sizable impact of these effects both on Q2and x-dependence of nuclear structure functions is found. PACS numbers: 13.15.Em, 24.10.-i, 25.30.-c, 25.30.Pt Typeset using REVTEX