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It is shown, that the exponential decrease of the energy spectra of thefragments with growing its energy, which does not depend from the fragmenttype, targets, projectiles and projectile energies, and which sometimesaccompanied slight oscillations, can be explained by the phenomenon of timeresonances. These time resonances correspond to decay of intermediate excitednuclear composite system. For the first time, expressions for the decay rateand the probability of survival of such system as a function of time areobtained. Inclusive spectra for two real high-energy nuclear reactions arecalculated.

Application of resonant decay method for compound-systems at analysis inclusive spectra in high-energy nuclear reactions