Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
- Resource Type
- Working Paper
- Authors
- Seng, Chien-Yeah; Gorchtein, Mikhail
- Source
- Phys.Lett.B 838 (2023) 137654
- Subject
- Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
- Language
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.
Comment: Version to appear on PLB. Some typos (e.g. the expansion formula of $\bar{f}_+(t)$) are corrected and a new section on experimental feasibility is included