Excitation energies, hyperfine constants, transition rates, and lifetimes of $5s^2nl$ states in In~I and Sn~II

Energies of $5s^2np_j$ ($n$ = 5--8), $5s^2ns_{1/2}$ ($n$ = 6-- 9), $5s^2nd_j$ ($n$ = 5--8), and $5s^2nf_{j}$ ($n$ = 4--5) states in In~I and Sn~II are obtained using relativistic many-body perturbation theory. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the 102 possible $5s^2nl_j-5s^2n'l'_{j'}$ electric-dipole transitions. Electric-quadrupole and magnetic-dipole matrix elements are evaluated to obtain $5s^25p_{3/2} - 5s^25p_{1/2}$ transition rates. Hyperfine constants $A$ are evaluated for $5s^2np_j$ ($n$ = 5--8), $5s^2ns_{1/2}$ ($n$ = 6--9), and $5s^2nd_j$ ($n$ = 5--8) states in $^{115}$In and $^{113}$In. First-, second-, third-, and all-order corrections to the energies and matrix elements and first- and second-order Breit corrections to energies are calculated. In our implementation of the all- order method, single and double excitations of Dirac-Fock wave functions are included to all orders in perturbation theory. These calculations provide a theoretical benchmark for comparison with experiment and theory.