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

## TL;DR

This paper explains the exponential decay observed in high-energy nuclear fragment spectra through the concept of time resonances, providing new formulas for decay rates and applying them to real reactions.

## Contribution

It introduces a novel explanation for energy spectra decay using time resonances and derives new expressions for decay rate and survival probability.

## Key findings

- Spectra decay explained by time resonances
- Derived formulas for decay rate and survival probability
- Applied model successfully to real nuclear reactions

## Abstract

It is shown, that the exponential decrease of the energy spectra of the fragments with growing its energy, which does not depend from the fragment type, targets, projectiles and projectile energies, and which sometimes accompanied slight oscillations, can be explained by the phenomenon of time resonances. These time resonances correspond to decay of intermediate excited nuclear composite system. For the first time, expressions for the decay rate and the probability of survival of such system as a function of time are obtained. Inclusive spectra for two real high-energy nuclear reactions are calculated.