Non-Singlet Structure Function of the 3HE-3H System and Divergence of the Gottfried Integral

We study nuclear shadowing for the flavor non-singlet structure function F_{2^{3_} He} -F_{2^{3_} H}. The violation of isospin symmetry for the ³He and ³H wave functions induces, via nuclear shadowing terms, the charge symmetry breaking for F_{2^{3_} He} and F_{2^{3_} H} which significantly increases, at small x, F_{2^{3_} He} -F_{2^{3_} H} over F_2^p -F_2ⁿ and leads to the divergence of the Gottfried integral.