Nuclear-medium effects in the weak structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ in the charged current neutrino and antineutrino induced deep inelastic reactions in $^{ 208}$Pb have been studied. The calculations have been performed in a theoretical model using relativistic nuclear spectral functions which incorporate Fermi motion, binding and nucleon correlations. We also consider the pion and rho meson cloud contributions calculated from a microscopic model for meson-nucleus self-energies. Using these structure functions, the results for the differential cross section have been obtained and compared with the CERN Hybrid Oscillation Research apparatUS (CHORUS) data. The results for the ratios $\frac{ 2F_{ i}^{ Pb}}{ 208F_i^D}$, $\frac{ 4F_{ i}^{ Pb}}{ 208F_i^{ He}}$, $\frac{ 12F_{ i}^{ Pb}}{ 208F_i^C}$, $\frac{ 16F_{ i}^{ Pb}}{ 208F_i^O}$, and $\frac{ 56F_{ i}^{ Pb}}{ 208F_i^{ Fe}}$ (i=2,3) have also been obtained and a few have been compared with some of the phenomenological fits.
Categories: nucl-th