First experimental determination of the charge radius of ${}^{74}$Rb and its application in tests of the unitarity of the CKM matrix

Collinear-laser spectroscopy with bunched-beams technique was used for the study of neutron deficient Rb isotopes, out to ${}^{74}$Rb ($N=Z=37$) at TRIUMF. The measured hyperfine coupling constants of ${}^{76,78m}$Rb were in agreement with literature values. The nuclear spin of ${}^{75}$Rb was confirmed to be $I=3\mathrm{/}2$, and its hyperfine coupling constants were measured for the first time. The mean-square charge radius of ${}^{74}$Rb was determined for the first time. This result has improved the isospin symmetry breaking correction term used to calculate the $\mathcal{F}t$ value, with implications for tests of the unitarity of the Cabibbo-Kobayashi-Maskawa matrix.