Microscopic calculations of isospin-breaking corrections to superallowed beta-decay

Abstract

The superallowed beta-decay rates that provide stringent constraints on physics beyond the Standard Model of particle physics are affected by nuclear structure effects through isospin-breaking corrections. The self-consistent isospin- and angular-momentum-projected nuclear density functional theory is used for the first time to compute those corrections for a number of Fermi transitions in nuclei from A=10 to A=74. The resulting leading element of the CKM matrix, |V_{ud}|= 0.97447(23), agrees well with the recent result by Towner and Hardy [Phys. Rev. C {\bf 77}, 025501 (2008)].

4 pages, 2 figures; replaced with accepted version

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• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• Isospin Non-Conservation in $sd$-Shell Nuclei
• Symmetry energy in nuclear density functional theory
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
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• Simple regularization scheme for multi-reference density functional theories
• Experimental Validation of the Largest Calculated Isospin-Symmetry-Breaking Effect in a Superallowed Fermi Decay
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Beta-decay study within multi-reference density functional theory and beyond
• The beta Decay of 32Cl: Precision gamma-Ray Spectroscopy and a Measurement of Isospin-Symmetry Breaking
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Thouless-Valatin Rotational Moment of Inertia from the Linear Response Theory
• Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT
• Relation of isospin-symmetry breaking correction for superallowed beta decay to energy of charge-exchange giant monopole resonance
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• High-Precision Branching Ratio Measurement and Spin Assignment Implications for ${}^{62}$Ga Superallowed $\beta$ Decay
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• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
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• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model
• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle