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

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.

arXiv comment9 Pages, 2 figures

References in corpus (2)

• Two-proton radioactivity and three-body decay. III. Integral formulae for decay widths in a simplified semianalytical approach
• Three-body resonant radiative capture reactions in astrophysics

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