Transition rates for lithium-like ions, sodium-like ions, and neutral alkali-metal atoms

Third-order many-body perturbation theory is used to obtain E1 transition amplitudes for ions of the lithium and sodium isoelectronic sequences and for the neutral alkali-metal atoms potassium, rubidium, cesium, and francium. Complete angular reductions of the first, second, and third-order amplitudes are given. Tables of transition energies and rates are given for the 2p1/2 → 2s1/2, 2p3/2 → 2s1/2, 3s1/2 → 2p1/2, and 3s1/2 → 2p3/2 transitions in the lithium isoelectronic sequence and for the corresponding 3p1/2 → 3s1/2, 3p3/2 → 3s1/2, 4s1/2 → 3p1/2, and 4s1/2 → 3p3/2 transitions in the sodium sequence. For neutral alkali atoms, amplitudes of np1/2 → ns1/2, np3/2 → ns1/2, (n + 1)s1/2 → np1/2, and (n + 1)s1/2 → np3/2 transitions are evaluated, where n is the principal quantum number of the valence electron in the atomic ground state, Semi-empirical corrections for the omitted fourth- and higher-order terms in perturbation theory are given for the neutral alkali-metal atoms. Comparisons with previous high-precision calculations and with experiment are made. 42 refs., 1 fig., 12 tabs