Measurement of the $7p{}^2\text{\hspace{0.17em}⁣}{P}_{3\mathrm{/}2}$ state branching fractions in ${\mathrm{R}\mathrm{a}}^{+}$

We report a measurement of the radium ion’s $7p{}^2\text{\hspace{0.17em}⁣}{P}_{3\mathrm{/}2}$ state branching fractions and improved theoretical calculations. With a single laser-cooled ${}^{226}{\mathrm{R}\mathrm{a}}^{+}$ ion we measure the $P_{3\mathrm{/}2}$ branching fractions to the $7s{}^2\text{\hspace{0.17em}⁣}{S}_{1\mathrm{/}2}$ ground state 0.87678(20), the $6d{}^2\text{\hspace{0.17em}⁣}{D}_{5\mathrm{/}2}$ state 0.10759(10), and the $6d$ ${}^2{D}_{3\mathrm{/}2}$ state 0.01563(21).