Calculated isospin-mixing corrections to Fermi β-decays in 1s0d-shell nuclei with emphasis on A = 34 |
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Authors: | W.E. Ormand B.A. Brown |
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Affiliation: | National Superconducting Cyclotron Laboratory, Michigan Stale University, East Lansing, Michigan 48824, USA |
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Abstract: | Corrections to the Fermi matrix element due to analogue symmetry breaking are evaluated for the superallowed β-decays of 22Mg, 34Cl, and 34Ar by considering the effects of Coulomb and other isospin-nonconserving potentials. Analogue symmetry breaking is calculated within the shell-model formalism by considering: (i) the deviations from unity of the radial overlap between the proton and neutron single-particle wave functions, and (ii) isospin mixing between states within the 0d0d0d shell. The radial-overlap corrections for several cases of interest in the sd shell are evaluated with single-particle wave functions obtained from a self-consistent Hartree-Fock calculation. The sd-shell isospin-mixing corrections are calculated with an isospin-non-conserving potential which reproduces the experimental isobaric mass shifts. Comparisons with previous calculations are made. The Fermi matrix elements for the isospin-forbidden (β-decays of 34Cl and 34Ar to excited 0+ states are also calculated. |
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