  The primary goal of this paper is to describe the diffraction production
using the model that takes into account the Pomeron interaction, and satisfies
both $t$ and $s$ channel unitarity. We hope that these features will allow us
to describe the diffraction production in a more convenient way than in CGC
motivated models, that do not satisfy these unitarity constraints.
Unfortunately, we show that both approaches are only able to describe half of
the cross section for the single diffraction production, leaving the second
half to be estimate of the large mass production in the Pomeron approach.The
impact parameter dependance of the scattering amplitudes show that soft
interactions at high energies measured at the LHC, have a much richer structure
than presumed. We discuss the $t$-dependence of the elastic cross section in
wide range of $|t|=0 \div 1 \,GeV^2 $. We show that in the kinemati region of
the minimum, we cannot use approximate formulae to calculate the real part of
the amplitude. The exact calculation in our model, shows that the real part is
rather small, and it is necessary to include the Odderon contribution in order
to describe the experimental data.
