Coherent and incoherent particle production off nuclei at high energies

The Glauber-Gribov model for hadronnucleus scattering is extended to multiproduction processes by supplimenting it with the AGK cutting rules. In contrast to the standard Glauber approach neither smallness of the interaction radius compared to the nuclear radii nor Gaussian form of theh-N-interaction profile function are assumed. We consistently use the theory of superciritical Pomeron. However all the results are more general and do not depend on the specific parametrization of the Pomeron pole amplitude. The inelastic screening due to the low mass diffractive excitations is also included. The cross-sections of coherent and incoherent diffractive production of the low mass hadronic states are calculated. We comment on the novel features of particle-nucleus interactions at superhigh energies when the interaction region blows up to the nucleus size. Specifically, one encounters here the rapid rise of the coherent interaction cross-sections and strong suppression of incoherent quasielastic processes.