Nuclear modification in the structure function $F_3$

Nuclear shadowing in the structure function $F_3$ is investigated as a possible test of shadowing models. The $F_3$ shadowing is studied in two different theoretical models: a parton-recombination model with $Q^2$ rescaling and an aligned-jet model. We find that predictions in these models differ completely in the small $x$ region. It suggests that the $F_3$ shadowing could be used for discriminating among different models, which produce similar shadowing behavior in the structure function $F_2$.