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Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
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abstract
We lay out a novel formalism to connect the isospin-symmetry breaking correction to the rates of superallowed nuclear beta decays, $\delta_\text{C}$, to the isospin-breaking sensitive combinations of electroweak nuclear radii that can be accessed experimentally. We individuate transitions in the superallowed decay chart where a measurement of the neutron skin of a stable daughter even at a moderate precision could already help discriminating between models used to compute $\delta_\text{C}$. We review the existing experimental situation and make connection to the existing and future experimental programs.
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Cited by 1 Pith paper
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Quantum Monte Carlo calculation of $\delta_{\rm NS}$ in $^{10}$C using an effective field theory approach
The first quantum Monte Carlo evaluation of the nuclear-structure-dependent radiative correction in carbon-10 confirms the NCSM dispersion result, with the residual uncertainty set by two undetermined low-energy constants.
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