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

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022504· OSTI ID:21448487

Safronova, U I ^[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, Journal Name: Physical Review. A Journal Issue: 2 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BLACKBODY RADIATION
CHARGED PARTICLES
COMPARATIVE EVALUATIONS
COULOMB ENERGY
DIPOLES
E1-TRANSITIONS
E2-TRANSITIONS
ELECTRIC DIPOLES
ELECTRICAL PROPERTIES
ELECTROMAGNETIC RADIATION
ENERGY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EVALUATION
EXCITATION
EXCITED STATES
HYPERFINE STRUCTURE
IONS
LIFETIME
MATRIX ELEMENTS
MULTIPOLE TRANSITIONS
MULTIPOLES
OCTUPOLES
OSCILLATOR STRENGTHS
PHYSICAL PROPERTIES
POLARIZABILITY
RADIATIONS
SCALARS
STARK EFFECT
STRONTIUM IONS
TENSORS