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 equation, which has been derived to describe this scattering, can be trusted only in the limited range of energies: <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>z</a:mi><a:mo>≤</a:mo><a:mn>2</a:mn><a:msqrt><a:mrow><a:mi>κ</a:mi><a:mi>c</a:mi></a:mrow></a:msqrt><a:msup><a:mrow><a:mi>A</a:mi></a:mrow><a:mrow><a:mn>1</a:mn><a:mo>/</a:mo><a:mn>6</a:mn></a:mrow></a:msup></a:mrow></a:math>.