Unified relativistic theory for1s2pP13−1s2S01and1s2pP11−1s2S01frequencies and transition rates in heliumlike ions

The aim of this paper is to test a simple method for converting accurate nonrelativistic predictions of atomic properties into accurate relativistic predictions with a minimum of additional computational effort. The method connects smoothly the exact nonrelativistic $\mathrm{LS}$-coupling results appropriate at small $Z$ with the relativistic $\mathrm{jj}$-coupling results appropriate at large $Z$. For the processes stated in the title, the method appears to offer a significant improvement in accuracy over relativistic Hartree-Fock or random-phase-approximation calculations, particularly in the low and intermediate range of nuclear charge. For large $Z$, the present results agree well with the relativistic random-phase approximation.