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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 3/2−3/2^{-} state of 17^{17}Ne and 3/2−3/2^{-} ground state of 45^{45}Fe. Various qualitative aspects of the model and relations with the other simplified approaches to the three-body decays are discussed.Comment: 9 Pages, 2 figure

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    Last time updated on 01/04/2019