Doubly excited triplet states of highly stripped ions

Transition energies, Coulomb repulsions and effective quantum numbers have been calculated for the doubly excited Nsnp: 3P0 (for N = 2, n = N, . . . , 5); Nsnd: 3De (for N = 2, n = N + 1, . . . , 5) and Npnd: 3F0 (for N = 2, n = N + 1, . . . , 5) states for the highly stripped ions Na9+, Mg10+, Al11+, Si12+, P13+ and S14+. Time-dependent perturbation theory has been applied to calculate such transitions properties. A time-dependent harmonic perturbation causes simultaneous excitation of both the electrons with a change of spin state. The doubly excited energy levels and the analytic representation of their wave functions are obtained by identifying the poles of an appropriately constructed linearized variational functional with respect to driving frequency. Most of the results are new. The transition energies and effective quantum numbers of 2s2p: 3P0 states of all the ions agree well with the only available experimental data.