Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay

Abstract

We present a test with which to evaluate the calculated isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay. The test is based on the corrected experimental Ft values being required to satisfy conservation of the vector current (CVC). When applied to six sets of published calculations, the test demonstrates quantitatively that only one set -- the one based on the shell model with Saxon-Woods radial wave functions -- provides satisfactory agreement with CVC. This test can easily be applied to any sets of calculated correction terms that are produced in future.

References in corpus (9)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Calculated corrections to superallowed Fermi beta decay: New evaluation of the nuclear-structure-dependent terms
• Isospin-mixing corrections for fp-shell Fermi transitions
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Coulomb corrections to superallowed beta decay in nuclei
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Radial excitations
• Quenching of spin operators in the calculation of radiative corrections for nuclear beta decay

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• Superallowed nuclear beta decays and precision tests of the Standard Model
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