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

摘要

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