Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Radial excitations

Abstract

Based on an exact formalism, we study the effects of isospin-symmetry-breaking interactions on superallowed 0+ -> 0+ transitions. We calculate the second-order renormalization of the Fermi matrix element due to radial contributions and show that radial excitations neglected in the treatment of Towner and Hardy are significant. These are estimated to decrease the isospin-symmetry-breaking corrections. Our results provide a correction term that can be included in existing approaches.

5 pages; NT@UW-09-22

References in corpus (7)

• 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
• Charge Symmetry Breaking and QCD
• 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 mixing in nuclei within the nuclear density functional theory

Cited by in corpus (36)

• FLAG Review 2019
• FLAG Review 2021
• QCD and strongly coupled gauge theories: challenges and perspectives
• Review of lattice results concerning low energy particle physics
• Beta Decays and Non-Standard Interactions in the LHC Era
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• FLAG Review 2024
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Testing isospin symmetry breaking in ab initio nuclear theory
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• Experimental Validation of the Largest Calculated Isospin-Symmetry-Breaking Effect in a Superallowed Fermi Decay
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• The beta Decay of 32Cl: Precision gamma-Ray Spectroscopy and a Measurement of Isospin-Symmetry Breaking
• The measurement and interpretation of superallowed 0+ to 0+ nuclear beta decay
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Nucleon-Nucleon Short-Ranged Correlations, $\beta$ Decay and the Unitarity of the CKM Matrix
• 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
• 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
• Exploring Isospin Symmetry Breaking in Exotic Nuclei: High-Precision Mass Measurement of 23Si and Shell-Model Calculations of T = 5/2 Nuclei
• Cabibbo angle anomalies and a global fit to vector-like quarks
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
• Ernest Henley's Isospin and the Ensuing Progress