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.

19 pages, 20 figures

References in corpus (1)

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

Cited by in corpus (3)

• Universal decay rule for reduced widths
• Two-proton radioactivity and three-body decay. IV. Connection to quasiclassical formulation
• Necessary conditions for accurate computations of three-body partial decay widths