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Nuclear medium effects in the weak structure functions $F_2(x,Q^2)$ and$F_3(x,Q^2)$ have been studied for deep inelastic neutrino/antineutrinoreactions in iron nucleus by taking into account Fermi motion, binding, pionand rho meson cloud contributions, target mass correction, shadowing andanti-shadowing corrections. The calculations have been performed in a localdensity approximation using relativistic nuclear spectral functions whichinclude nucleon correlations. Using these structure functions we have obtainedthe ratio $R_{F2,F3}^A(x,Q^2)= \frac{2F_{2,3}^A(x,Q^2)}{AF_{2,3}^D(x,Q^2)}$,the differential scattering cross section $\frac{1}{E}\frac{d^2\sigma}{dxdy}$and the total scattering cross section $\sigma$. The results of our numericalcalculations in $^{56}Fe$ are compared with the experimental results of NuTeVand CDHSW collaborations.

Nuclear medium effects in $\nu/\bar{\nu}$-A DIS