Oscillator strengths forS-PandP-Dtransitions for singly excited states of two-electron ions viaZ-dependent perturbation theory

Abstract
Oscillator strengths for electric dipole transitions between singly excited S, P, and D states are calculated via Z-dependent perturbation theory. The transition matrix elements through first order are obtained from variational perturbation first-order wave functions. Second-order expansion coefficients for the matrix elements are then estimated with the aid of several approximants. These matrix elements, together with accurate transition energies, yield oscillator strengths for transitions between all S-P and P-D transitions between states of two-electron ions with principal quantum number up to 9 and for values of the nuclear charge up to approximately 30.