# Two-proton radioactivity and three-body decay. IV. Connection to quasiclassical formulation

## TL;DR

This paper develops a quasiclassical approach to calculate three-body decay widths, providing analytical expressions and applying them to specific nuclear decays, thereby connecting classical and quantum descriptions of nuclear decay processes.

## Contribution

It introduces a quasiclassical formulation for three-body decay widths, deriving explicit expressions and coefficients, and relates this to existing simplified models in nuclear physics.

## Key findings

- Derived analytical expressions for three-body decay widths.
- Applied the model to specific nuclear decays of $^{17}$Ne and $^{45}$Fe.
- Discussed qualitative aspects and relations to other models.

## Abstract

We derive quasiclassical expressions for the three-body decay width and define the ``preexponential'' coefficients for them. The derivation is based on the integral formulae for the three-body width obtained in the semianalytical approach with simplified three-body Hamiltonian [L.V. Grigorenko and M.V.\ Zhukov, arXiv:0704.0920v1]. The model is applied to the decays of the first excited $3/2^{-}$ state of $^{17}$Ne and $3/2^{-}$ ground state of $^{45}$Fe. Various qualitative aspects of the model and relations with the other simplified approaches to the three-body decays are discussed.