On the gathering model in cumulative meson production

Calculation is made of the invariant cross sections of production of cumulative mesons in the ''gathering'' model. It is shown that this model gives theoretical values for the cross sections of pion production exceeding the experimental ones by an order of magnitude. For the case of cumulative kaons, the model result is by factor of two to ten lower than the experimental result, depending on the kaon sign and atomic weight of a target-nucleus. To get qualitative agreement with experiment, it is necessary to assume that the probability of formation, in a nucleus, of compound systems which are a source of the cumulative mesons in the gathering model is highly dependent on the type of cumulative meson, which contradicts the fundamental principle of causality