Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca{sup +}

Journal Article · Sat Jan 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.012503· OSTI ID:21529063

Safronova, M S ^[1]; Safronova, U I ^[2]

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1. Department of Physics and Astronomy, 217 Sharp Lab, University of Delaware, Newark, Delaware 19716 (United States)
2. Physics Department, University of Nevada, Reno, Nevada 89557 (United States)

A systematic study of Ca{sup +} atomic properties is carried out using a 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. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the levels up to n=7. Recommended values and estimates of their uncertainties are provided for a large number of electric-dipole transitions. Electric-dipole scalar polarizabilities for the 5s, 6s, 7s, 8s, 4p{sub j}, 5p{sub j}, 3d{sub j}, and 4d{sub j} states and tensor polarizabilities for the 4p{sub 3/2}, 5p{sub 3/2}, 3d{sub j}, and 4d{sub j} states in Ca{sup +} are calculated. Methods are developed to accurately treat the contributions from highly excited states, resulting in significant (factor of 3) improvement in the accuracy of the 3d{sub 5/2} static polarizability value, 31.8(3)a{sub 0}{sup 3}, in comparison with the previous calculation [Arora et al., Phys. Rev. A 76, 064501 (2007).]. The blackbody radiation shift of the 4s-3d{sub 5/2} clock transition in Ca{sup +} is calculated to be 0.381(4) Hz at room temperature, T=300 K. Electric-quadrupole 4s-nd and electric-octupole 4s-nf matrix elements are calculated to obtain the ground-state multipole E2 and E3 static polarizabilities. Excitation energies of the ns, np, nd, nf, and ng states with n{<=} 7 in are evaluated and compared with experiment. Recommended values are provided for the 7p{sub 1/2}, 7p{sub 3/2}, 8p{sub 1/2}, and 8p{sub 3/2} removal energies for which experimental measurements are not available. The hyperfine constants A are determined for the low-lying levels up to n=7. The quadratic Stark effect on hyperfine structure levels of {sup 43}Ca{sup +} ground state is investigated. These calculations provide recommended values critically evaluated for their accuracy for a number of Ca{sup +} atomic properties for use in planning and analysis of various experiments as well as theoretical modeling.

• OSTI ID: 21529063
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
BLACKBODY RADIATION
CALCIUM IONS
CHARGED PARTICLES
COMPUTERIZED SIMULATION
DIPOLES
E1-TRANSITIONS
ELECTRIC DIPOLES
ELECTRICAL PROPERTIES
ELECTROMAGNETIC RADIATION
ENERGY LEVELS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
FUNCTIONS
HYPERFINE STRUCTURE
IONS
LIFETIME
MATRIX ELEMENTS
MULTIPOLE TRANSITIONS
MULTIPOLES
OCTUPOLES
OSCILLATOR STRENGTHS
PERTURBATION THEORY
PHYSICAL PROPERTIES
POLARIZABILITY
RADIATIONS
RELATIVISTIC RANGE
SIMULATION
STARK EFFECT
TEMPERATURE RANGE
TEMPERATURE RANGE 0273-0400 K
WAVE FUNCTIONS