Two-proton radioactivity and three-body decay. III. Integral formulae for decay widths in a simplified semianalytical approach

Abstract

Three-body decays of resonant states are studied using integral formulae for decay widths. Theoretical approach with a simplified Hamiltonian allows semianalytical treatment of the problem. The model is applied to decays of the first excited $3/2^{-}$ state of ${}^{17}$Ne and the $3/2^{-}$ ground state of ${}^{45}$Fe. The convergence of three-body hyperspherical model calculations to the exact result for widths and energy distributions are studied. The theoretical results for ${}^{17}$Ne and ${}^{45}$Fe decays are updated and uncertainties of the derived values are discussed in detail. Correlations for the decay of ${}^{17}$Ne $3/2^{-}$ state are also studied.

arXiv comment19 pages, 20 figures

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