Double scattering on the nucleus in the perturbative QCD

In the hard pomeron model consequences are studied which follow from the recently obtained form of the diffractive amplitude for the double scattering on the nucleus and the related EMC effect at small $x$. It is shown that at large $Q^2$ the double scattering contribution to the latter falls as $Q^{-0.6338}$ and in all probability dominates the total effect.