Relativistic many-body calculation of energies, oscillator strengths, transition rates, lifetimes, multipole polarizabilities, and hyperfine constants of Th~IV ion

Atomic properties of the 24 low-lying $ns$, $np_j$, $nd_j$, $nf_j$, and $ng_j$ states in Th~IV ion are calculated using the high-precision relativistic all-order method where all single, double, and partial triple excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Recommended values are provided for a large number of electric-dipole matrix elements, oscillator strengths, transition rates, and lifetimes. Scalar polarizabilities of the ground and six excited states ($5f_j$, $6d_j$, $7p_j$, and $7s$ states), and tensor polarizabilities of the $5f_j$, $6d_j$, and $7p_{3/2}$ states are evaluated. The uncertainties of the recommended values are estimated. The hyperfine structure of the $^{229}$Th~IV ion is investigated. The hyperfine $A$- and B-values are determined for the low-lying levels listed above. These calculations provide recommended values critically evaluated for their accuracy for a number of Th~IV atomic properties for use in theoretical modeling as well as in planning and analysis of various experiments including RESIS studies of actinide ions and development of ultraprecise nuclear clock.