SINGLE-PARTICLE POTENTIAL FOR PHOTOEXCITED ELECTRON ORBITALS OF OPEN-SHELL ATOMS

A single-particle potential for the calculation of photoexcited electr on orbitals is introduced. This potential is defined to include exactl y all of the first-order electron correlations that appear in the diag rammatic perturbation series of the dipole polarizability and that con tain potential corrections in the intermediate state. The angular coef ficients that are associated with this potential can be written in the form of an average term plus a correction to the average. It is demon strated that the correction to the average contribution is dependent o nly upon the initial-state coupling of the atom. Additionally, a trivi al relationship exists between the correction to the average contribut ions for conjugate initial-state configurations. The angular coefficie nts are tabulated for all of the s(n), p(n), and d(n) initial-state LS couplings that are possible. Supplementary analytic relationships are also presented.