Physical grounds of the "gathering" model are discussed. It is shown that the "gathering" of nucleons in a collective interaction is a direct consequence of the behaviour of colour forces at large distances. An analytical variant of the model is presented which allows a large simplification of the calculation procedure. The results obtained are compared with the data on ~-and K-meson cumulative production. The model applicability for relativistic nucleus-nucleus collisions is discussed.

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The processes of K+- and K−-meson production in reactions Ne+NaF , Ne+Pb and Si+Si at E kin =2.1 GeV/N are considered within the framework of the nuclear pionization model. Model calculations are in agreement with experimental data. It is shown that K+-mesons having small absorption cross-section are produced at the relatively early stage of the cluster expansion whereas K−-mesons having large absorption cross-section are produced simultaneously with pions at the relatively late stage of the process.