  Hadron production in single and central diffraction dissociation is studied
in a model which includes soft hadron interaction as controlled by a
supercritical pomeron parametrization and hard diffraction. Within this model,
particle production in collisions with pomerons exhibit properties like
multiple soft interactions and multiple minijets, quite similar to hadron
production in non-diffractive hadronic collisions at high energies. However,
important differences occur in transverse momentum jet and hadron
distributions. It is shown that the model is able to describe data from the
CERN-SPS collider and from the HERA collider. Model predictions are presented
for single and central diffraction at TEVATRON.
