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

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

2007-04-06

arxiv.org/abs/0704.0934v1

Phys.Rev.C76:014009,2007

Physics

Nuclear Physics

Nuclear Theory

9 Pages, 2 figures

Scientific paper

10.1103/PhysRevC.76.014009

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.

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