Summing large Pomeron loops in the saturation region: dipole-nucleus collision beyond nonlinear equations

In this paper we found the dipole-nucleus scattering amplitude at high energies by summing large Pomeron loops. It turns out that the energy dependence of this amplitude is the same as for dipole-dipole scattering. It means that the Balitsky-Kovchegov (BK) equation, which has been derived to describe this scattering, can be trusted only in the limited range of energies: $z\le \sqrt{2\kappa C}{A}^{1\mathrm{/}6}$