Excitation energies, hyperfine constants, E1, E2, and M1 transition rates, and lifetimes of 6s(2)nl states in TlI and PbII

摘要

Energies of 6s(2)np(j) (n=6-9), 6s(2)ns(1/2) (n=7-9), 6s(2)nd(j) (n=6-8), and 6s(2)nf(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 6s(2)nl(j)-6s(2)n(')l(j)('') electric-dipole transitions. Electric-quadrupole and magnetic-dipole matrix elements are evaluated to obtain 6s(2)np(3/2)-6s(2)mp(1/2) (n,m=6,7) transition rates. Hyperfine constants A are evaluated for 6s(2)np(j) (n=6-9), 6s(2)ns(1/2) (n=7-9), and 6s(2)nd(j) (n=6-8) states in Tl-205. 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.