Coulomb corrections to Fermi beta decay in nuclei

Abstract

We study the influence of the Coulomb force on the Fermi beta-decays in nuclei. This work is composed of two main parts. In the first part, we calculate the Coulomb corrections to super-allowed beta decay. We use the notion of the isovector monopole state and the self-consistent charge-exchange Random Phase Approximation to compute the correction. In the second part of this work, we examine the influence of the anti-analog state on isospin mixing in the isobaric analog state and the correction to the beta-decay Fermi transition.

arXiv commentSome numerical mistakes were corrected. The present version matches the online version published in NPA

References in corpus (14)

• Reduced hadronic uncertainty in the determination of $V_{ud}$
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• 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
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Effects of isospin mixing in the A=32 quintet
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
• Experimental Validation of the Largest Calculated Isospin-Symmetry-Breaking Effect in a Superallowed Fermi Decay
• Isospin symmetry breaking in the mirror pair ${}^{73}$Sr-${}^{73}$Br
• Isospin mixing and Coulomb mixing in ground states of even-even nuclei
• Relation of isospin-symmetry breaking correction for superallowed beta decay to energy of charge-exchange giant monopole resonance

Cited by in corpus (2)

• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
• Nucleon-Nucleon Short-Ranged Correlations, $\beta$ Decay and the Unitarity of the CKM Matrix