Relativistic many-body calculations of transition rates from core-excited states in sodiumlike ions

Rates and line strengths are calculated for the ${2s}^2{2p}^5{3l3l}^{\prime }-{2s}^2{2p}^6{3l}^{″}$ and ${2s2p}^6{3l3l}^{\prime }-{2s}^2{2p}^6{3l}^{″}$ electric-dipole $\mathrm{}\left(E1\mathrm{}\right)\mathrm{}$ transitions in Na-like ions with nuclear charges ranging from $Z=14\mathrm{}$ to 100. Relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate retarded E1 matrix elements in length and velocity forms. The calculations start from a ${1s}^2{2s}^2{2p}^6$ Dirac-Fock potential. First-order RMBPT is used to obtain intermediate coupling coefficients and second-order RMBPT is used to calculate transition matrix elements. A detailed discussion of the various contributions to dipole matrix elements is given for sodiumlike copper $\mathrm{}(Z=29\mathrm{}).$ Transition energies used in the calculation of transition rates are from second-order RMBPT. Trends of transition rates as functions of Z are shown graphically for selected transitions.