All-order perturbation calculation of energies, hyperfine constants, multipole polarizabilities, and blackbody radiation shift in 87Sr+

Excitation energies of the [Kr]ns(1/2), [Kr]np(j), [Kr]nd(j), and [Kr]nf(j) (n <= 9 and [Kr] = (1s(2)2s(2)2p(6)3s(2)3p(6) 3d(10)4s(2)4p(6)) in Sr II are evaluated. First-order, second-order, third-order, and all-order Coulomb energies and first-order and second-order Coulomb-Breit energies are calculated. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the levels up to n = 7. Electric-dipole (5s(1/2)-np(j), n = 5-26), electric-quadrupole (5s(1/2)-nd(j), n = 4-26), and electric-octupole (5s(1/2)-nf(j), n = 4-26) matrix elements are calculated to obtain the ground-state E1, E2, and E3 static polarizabilities. Scalar and tensor polarizabilities for the 5p(j)-9p(j) and 4d(j)-8d(j) excited states in Sr II are also calculated. All the above-mentioned matrix elements are determined using the all-order method. We also investigate the hyperfine structure in Sr-87(+). The hyperfine A values and B values are determined for the first low-lying levels up to n = 7. The quadratic Stark effect on hyperfine-structure levels of the Sr-87(+) ground state is investigated. The calculated shift for the (F = 5, M = 0) <-> (F = 4, M = 0) transition is found to be 0.120(1) Hz/(kV/cm)(2). These calculations provide a theoretical benchmark for comparison with the experiment and theory. A careful study of uncertainty of our calculations is carried out for the transition-matrix elements, line strengths, transition rates, lifetimes, polarizabilities, and the Stark shift coefficient.