A study of nuclear effect in $F_3$ structure function in the deep inelastic $\nu (\bar{\nu })$ reactions in nuclei

We study nuclear effect in the $F_3^A(x)$ structure function in the deep inelastic neutrino reactions on iron by taking into account Fermi motion, binding, target mass correction, shadowing and anti-shadowing corrections. Calculations have been done in a local density approximation using relativistic nuclear spectral functions which include nucleon correlations for nuclear matter. Results for $F_3^A(x)$ have been compared with the results reported at NuTeV and also with some of the older experiments reported in the literature.