Calculated corrections to superallowed Fermi beta decay: New evaluation of the nuclear-structure-dependent terms

Abstract

The measured $ft$-values for superallowed $0^{+}\to 0^{+}$ nuclear $\beta$-decay can be used to obtain the value of the vector coupling constant and thus to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix. An essential requirement for this test is accurate calculations for the radiative and isospin symmetry-breaking corrections that must be applied to the experimental data. We present a new and consistent set of calculations for the nuclear-structure-dependent components of these corrections. These new results do not alter the current status of the unitarity test -- it still fails by more than two standard deviations -- but they provide calculated corrections for eleven new superallowed transitions that are likely to become accessible to precise measurements in the future. The reliability of all calculated corrections is explored and an experimental method indicated by which the structure-dependent corrections can be tested and, if necessary, improved.

Revtex4, one figure

References in corpus (2)

• Is the Unitarity of the quark-mixing-CKM-matrix violated in neutron $\beta$-decay?
• Superallowed Beta Decay of Nuclei with A >or= 62: The Limiting Effect of Weak Gamow-Teller Branches

Cited by in corpus (57)

• The Shell Model as Unified View of Nuclear Structure
• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Tests of the standard electroweak model in beta decay
• Improved Calculation of Electroweak Radiative Corrections and the Value of V_ud
• Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Superallowed nuclear beta decays: A critical survey with tests of CVC and the standard model
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Precision Measurements and CKM Unitarity
• Separated Oscillatory Fields for High-Precision Penning Trap Mass Spectrometry
• The Weak Charge of the Proton and New Physics
• High precision analytical description of the allowed $\beta$ spectrum shape
• Ft values of the T = 1/2 mirror beta transitions
• Comprehensive analysis of beta decays within and beyond the Standard Model
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• New limit on fundamental weak-interaction parameters from superallowed beta decay
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Q_EC values of the Superallowed beta Emitters 50Mn and 54Co
• Isospin Non-Conservation in $sd$-Shell Nuclei
• High Precision Measurement of the Superallowed 0^+ to 0^+ Beta Decay of ^{22}Mg
• Q-value of the superallowed beta decay of Ga-62
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• First experimental determination of the charge radius of ${}^{74}$Rb and its application in tests of the unitarity of the CKM matrix
• Quark Mixing, CKM Unitarity
• Experimental evidence for 56Ni-core breaking from the low-spin structure of the N=Z nucleus 58Cu
• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• High-precision measurement of the half-life of ${}^{62}$Ga
• Precise half-life measurement of the 26Si ground state
• Time-separated oscillatory fields for high-precision mass measurements on short-lived Al and Ca nuclides
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Superallowed nuclear beta decays and precision tests of the Standard Model
• A new analysis of 14O beta decay: branching ratios and CVC consistency
• Precision measurement of the half-life and the decay branches of 62Ga
• Beta-decay branching ratios of 62Ga
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• Branching ratios for the beta decay of 21Na
• Nuclear charge radius of ${}^{26m}$Al and its implication for V${}_{ud}$ in the quark-mixing matrix
• Half-Life of ${}^{14}$O
• The measurement and interpretation of superallowed 0+ to 0+ nuclear beta decay
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Mass measurements and superallowed beta decay
• Theoretical corrections and world data for the superallowed ft values in the beta decays of 42Ti, 46Cr, 50Fe and 54Ni
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Probing Dark Sectors with Neutron Stars
• Isospin mixing and Fermi transitions: Selfconsistent deformed mean field calculations and beyond
• Negative-Parity States and beta-decays in odd Ho and Dy Nuclei with A=151,153
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• High-Precision Branching Ratio Measurement and Spin Assignment Implications for ${}^{62}$Ga Superallowed $\beta$ Decay
• Isospin symmetry breaking in an algebraic pairing Sp(4) model
• Isotope-shift factors with quantum electrodynamics effects for many-electron systems: A study of the nuclear charge radius of ${}^{26m}$Al
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• 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
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model