English

Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$

Nuclear Theory 2023-01-13 v2 High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment

Abstract

We lay out a novel formalism to connect the isospin-symmetry breaking correction to the rates of superallowed nuclear beta decays, δC\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 δC\delta_\text{C}. We review the existing experimental situation and make connection to the existing and future experimental programs.

Keywords

Cite

@article{arxiv.2208.03037,
  title  = {Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$},
  author = {Chien-Yeah Seng and Mikhail Gorchtein},
  journal= {arXiv preprint arXiv:2208.03037},
  year   = {2023}
}

Comments

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