Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.042504· OSTI ID:21020710

Safronova, U I; Johnson, W R; Safronova, M S ^[1]

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1. Physics Department, University of Nevada, Reno, Nevada 89557 (United States)

Relativistic many-body perturbation theory is applied to study properties of ions of the francium isoelectronic sequence. Specifically, energies of the 7s, 7p, 6d, and 5f states of Fr-like ions with nuclear charges Z=87-100 are calculated through third order; reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for 7s-7p, 7p-6d, and 6d-5f electric-dipole transitions; and 7s-6d, 7s-5f, and 5f{sub 5/2}-5f{sub 7/2} multipole matrix elements are evaluated to obtain the lifetimes of low-lying excited states. Moreover, for the ions Z=87-92 calculations are also carried out using the relativistic all-order single-double method, in which single and double excitations of Dirac-Fock wave functions are included to all orders in perturbation theory. With the aid of the single-double wave functions, we obtain accurate values of energies, transition rates, oscillator strengths, and the lifetimes of these six ions. Ground state scalar polarizabilities in Fr I, Ra II, Ac III, and Th IV are calculated using relativistic third-order and all-order methods. Ground state scalar polarizabilities for other Fr-like ions are calculated using a relativistic second-order method. These calculations provide a theoretical benchmark for comparison with experiment and theory.

• OSTI ID: 21020710
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ACTINIUM IONS
ATOMIC NUMBER
CATIONS
COMPUTER CALCULATIONS
DIRAC EQUATION
E1-TRANSITIONS
EXCITED STATES
FRANCIUM IONS
GROUND STATES
HARTREE-FOCK METHOD
LIFETIME
MANY-BODY PROBLEM
MATRIX ELEMENTS
OSCILLATOR STRENGTHS
PERTURBATION THEORY
POLARIZABILITY
RADIUM IONS
RELATIVISTIC RANGE
THORIUM IONS
WAVE FUNCTIONS