/ Theory-Nucl arXiv:0704.0920

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

Grigorenko, L.V. (Kurchatov Inst., Moscow) ; Zhukov, M.V. (Chalmers U. Tech.)

Published in: Phys.Rev.
Year: 2007
Vol.: C76
Page No: 014008
Pages: 19

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.

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