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

Journal Article · · Physical Review. A
 [1]
  1. Physics Department, University of Nevada, Reno, Nevada 89557 (United States) and Institute of Spectroscopy, Russian Academy of Science, Troitsk, Moscow (Russian Federation)

Excitation energies of the [Kr]ns{sub 1/2}, [Kr]np{sub j}, [Kr]nd{sub j}, and [Kr]nf{sub j} (n{<=}9 and [Kr]=(1s{sup 2}2s{sup 2}2p{sup 6}3s{sup 2}3p{sup 6}3d{sup 10}4s{sup 2}4p{sup 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{sub 1/2}-np{sub j}, n=5-26), electric-quadrupole (5s{sub 1/2}-nd{sub j}, n=4-26), and electric-octupole (5s{sub 1/2}-nf{sub 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{sub j}-9p{sub j} and 4d{sub j}-8d{sub 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 {sup 87}Sr{sup +}. 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 {sup 87}Sr{sup +} ground state is investigated. The calculated shift for the (F=5,M=0){r_reversible}(F=4,M=0) transition is found to be 0.120(1) Hz/(kV/cm){sup 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.

OSTI ID:
21448487
Journal Information:
Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.022504; (c) 2010 The American Physical Society; ISSN 1050-2947
Country of Publication:
United States
Language:
English