Abstract
All-order relativistic many-body calculations of removal energies are carried out for , and states of sodium and sodiumlike ions with nuclear charges in the range 12–16. Hyperfine constants are evaluated for each state, and reduced dipole matrix elements are determined for -, -, - - - - and - transitions. The calculations include single and double excitations of the Hartree-Fock ground state to all orders in perturbation theory. Corrections to energies are made for a dominant class of triple excitations. The Breit interaction, with all-order correlation corrections, is evaluated. Reduced-mass and mass-polarization corrections are included to third order in perturbation theory. The predicted removal energies, when corrected for the Lamb shift, agree with experiment at the 1–20- level of accuracy for all states considered. Theoretical fine-structure intervals agree with measurements to about 0.3% for states and to about 3% for states. Theoretical hyperfine constants and line strengths agree with precise measurements to better than 0.3%.
- Received 12 February 1998
DOI:https://doi.org/10.1103/PhysRevA.58.1016
©1998 American Physical Society