Diffractive dissociation from non-linear evolution in DIS on nuclei

The process of single diffractive dissociation off nuclei is considered on a basis of solutions to the nonlinear evolution equation. The relevant saturation scales $Q_{sA}^D(x,x_0)$ are determined and their dependences on Bjorken $x$, atomic number $A$, and minimal rapidity gap $Y_0\equiv \ln 1\mathrm{/}{x}_0$ are investigated. The solutions are shown to posses the geometrical scaling in a broad kinematic region for $x$ well below $x_0$. A detailed theoretical discussion of saturation scale and scaling is presented. The ratio ${\sigma }^{diff}\mathrm{/}{\sigma }^{tot}$ is computed for several nuclei. We predict that at $x\simeq {10}^{-4}$ this ratio is of the order 25% which is much larger to the one of proton. This result indicates a possibility to observe a very strong nuclear shadowing.