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In the framework of the modified FRITIOF model, the inclusive spectra of the cumulative -, -mesons and protons produced in the nucleus-nucleus interactions at 4.5 GeV/c/nucleon and 4.2 GeV/c/nucleon are calculated. It is shown that the model reproduces qualitatively, and in some cases quantitatively the main experimental regularities of -mesons production, and “soft” part of the proton spectra. According to the model the production of the cumulative particles is connected with the mechanism of the “soft” nucleon-nucleon interaction.

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