Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca{sup +}
- Department of Physics and Astronomy, 217 Sharp Lab, University of Delaware, Newark, Delaware 19716 (United States)
- 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, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevA.83.012503; (c) 2011 American Institute of Physics; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
BLACKBODY RADIATION
CALCIUM IONS
COMPUTERIZED SIMULATION
E1-TRANSITIONS
ELECTRIC DIPOLES
EXCITATION
EXCITED STATES
HYPERFINE STRUCTURE
LIFETIME
MATRIX ELEMENTS
OCTUPOLES
OSCILLATOR STRENGTHS
PERTURBATION THEORY
POLARIZABILITY
RELATIVISTIC RANGE
STARK EFFECT
TEMPERATURE RANGE 0273-0400 K
WAVE FUNCTIONS
CHARGED PARTICLES
DIPOLES
ELECTRICAL PROPERTIES
ELECTROMAGNETIC RADIATION
ENERGY LEVELS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
IONS
MULTIPOLE TRANSITIONS
MULTIPOLES
PHYSICAL PROPERTIES
RADIATIONS
SIMULATION
TEMPERATURE RANGE