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 (5)

• 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
• 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
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Cited by in corpus (17)

• FLAG Review 2021
• FLAG Review 2024
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Model-independent determination of nuclear weak form factors and implications for Standard Model precision tests
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• Nuclear charge radius of ${}^{26m}$Al and its implication for V${}_{ud}$ in the quark-mixing matrix
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Isospin mixing in nuclei around N=Z and the superallowed beta-decay
• Isospin mixing in the vicinity of the N=Z line
• High-precision $Q_{EC}$-value measurement of the superallowed ${\beta }^{+}$ emitter ${}^{22}$Mg and an evaluation of the $A=22$ isobaric triplet
• High-Precision Branching Ratio Measurement and Spin Assignment Implications for ${}^{62}$Ga Superallowed $\beta$ Decay
• A Search for $0^{+}$ States in ${}^{50}$Cr: Implications for the Superallowed $\beta$-decay of ${}^{50}$Mn
• High-Precision Half-life Measurement for the Superallowed Fermi ${\beta }^{+}$ Emitter ${}^{22}$Mg
• $|V_{ud}|$, $|V_{us}|$, $|V_{cd}|$, $|V_{cs}|$ and charm (semi)leptonic decays: WG1 summary from CKM 2016
• Precise determination of V_ud and V_us