Phys. Rev. A 71, 052506 (2005) [9 pages]

Excitation energies, hyperfine constants, E1, E2, and M1 transition rates, and lifetimes of 6s²nl states in Tl I and Pb II

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U. I. Safronova^*
Physics Department, University of Nevada, Reno, Nevada 89557, USA

M. S. Safronova^†
Department of Physics and Astronomy, 223 Sharp Lab, University of Delaware, Newark, Delaware 19716, USA

W. R. Johnson^‡
Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA

Received 12 October 2004; revised 10 February 2005; published 27 May 2005

Energies of 6s²np_j (n=6–9), 6s²ns_1∕2 (n=7–9), 6s²nd_j (n=6–8), and 6s²nf_5∕2 (n=5–6) states in Tl I and Pb II are obtained using relativistic many-body perturbation theory. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the 72 possible 6s²nl_j-6s²n^′l_j^′^′ electric-dipole transitions. Electric-quadrupole and magnetic-dipole matrix elements are evaluated to obtain 6s²np_3∕2-6s²mp_1∕2 (n,m=6,7) transition rates. Hyperfine constants A are evaluated for 6s²np_j (n=6–9), 6s²ns_1∕2 (n=7–9), and 6s²nd_j (n=6–8) states in ²⁰⁵Tl. First-, second-, third-, and all-order corrections to the energies and matrix elements and first- and second-order Breit corrections to energies are calculated. In our implementation of the all-order method, single and double excitations of Dirac-Fock wave functions are included to all orders in perturbation theory. These calculations provide a theoretical benchmark for comparison with experiment and theory.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.71.052506

DOI:

10.1103/PhysRevA.71.052506

PACS:

31.15.Ar, 31.15.Md, 32.10.Fn, 32.70.Cs

^*Electronic address: usafrono@nd.edu, on leave from ISAN, Troitski, Russia.

^†Electronic address: msafrono@udel.edu

^‡Electronic address: johnson@nd.edu; URL: www.nd.edu/̃johnson

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Phys. Rev. A 71, 052506 (2005) [9 pages]

Excitation energies, hyperfine constants, E1, E2, and M1 transition rates, and lifetimes of 6s2nl states in Tl I and Pb II

Excitation energies, hyperfine constants, E1, E2, and M1 transition rates, and lifetimes of 6s²nl states in Tl I and Pb II