  In this paper we discuss the processes of diffractive production in the
framework of the BFKL Pomeron calculus in zero transverse dimension.
Considering the diffractive production of a bunch of particles with not very
large masses, namely,
  $\ln\Lb M^2/m^2 \Rb \ll \frac{1}{\bas} \ln\Lb \frac{N^2_c}{\bas^2}\Rb$, we
found explicit formulae for calculation of the cross sections for the single
and double diffractive production as well as for the value of the survival
probability for the diffractive central production. These formulae include the
influence of the correlations due to so called Pomeron loops on the values of
all discussed observables. The comparison with the other approaches on the
market is given. The main conclusion of this comparison: the
Mueller-Patel-Salam-Iancu approximation gives sufficiently good descriptions
and close to the exact result for elastic and diffractive cross section but
considerable overshoot the value of the survival probability.
