Necessary conditions for accurate computations of three-body partial decay widths

Abstract

The partial width for decay of a resonance into three fragments is largely determined at distances where the energy is smaller than the effective potential producing the corresponding wave function. At short distances the many-body properties are accounted for by preformation or spectroscopic factors. We use the adiabatic expansion method combined with the WKB approximation to obtain the indispensable cluster model wave functions at intermediate and larger distances. We test the concept by deriving conditions for the minimal basis expressed in terms of partial waves and radial nodes. We compare results for different effective interactions and methods. Agreement is found with experimental values for a sufficiently large basis. We illustrate the ideas with realistic examples from $\alpha$-emission of ${}^{12}$C and two-proton emission of ${}^{17}$Ne. Basis requirements for accurate momentum distributions are briefly discussed.

To be published in Physical Review C

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Cited by in corpus (7)

• Radioactive decays at limits of nuclear stability
• Two-proton radioactivity within a generalized liquid drop model
• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Two-proton radioactivity within Coulomb and proximity potential model
• Search for $2p$ decay of the first excited state of ${}^{17}$Ne
• Investigation of ${}^{23}$N in a three-body model
• Studies of quasiclassical approach applicability to true three-body decays