We carried out a systematic high-precision relativistic study of the forbidden magnetic dipole and electric quadrupole transitions in ${\mathrm{Ca}}^{+}$, Rb, ${\mathrm{Sr}}^{+}$, Cs, ${\mathrm{Ba}}^{+}$, Fr, ${\mathrm{Ra}}^{+}, {\mathrm{Ac}}^{2+}$, and ${\mathrm{Th}}^{3+}$. This work is motivated by the importance of these transitions for tests of fundamental physics and precision measurements. The relative importance of the relativistic, correlation, and Breit correction contributions and contributions of negative-energy states is investigated. Recommended values of reduced matrix elements are presented together with their uncertainties. The matrix elements and resulting lifetimes are compared with other theoretical values and with experiment where available.

• Received 7 November 2016

DOI:https://doi.org/10.1103/PhysRevA.95.042507