Calculation of parity-nonconserving amplitude and other properties of ${\text{Ra}}^{+}$

We have calculated parity-nonconserving $7s-6d_{3/2}$ amplitude $E_{\text{PNC}}$ in ${}^{223}\text{R}{\text{a}}^{+}$ using high-precision relativistic all-order method where all single and double excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Detailed study of the uncertainty of the parity-nonconserving amplitude is carried out; additional calculations are performed to estimate some of the missing correlation corrections. A systematic study of the parity-conserving atomic properties, including the calculation of the energies, transition matrix elements, lifetimes, hyperfine constants, and quadrupole moments of the $6d$ states, as well as dipole and quadrupole ground-state polarizabilities, is carried out. The results are compared with other theoretical calculations and available experimental values.