Relativistic Auger and x-ray emission rates of the1s2s2pconfiguration of Li-like ions

Multiplet Auger and x-ray emission rates for the $1s2s2p$ configuration of Li-like ions ($13\le Z\le 92$) have been calculated relativistically in the intermediate-coupling scheme, using Dirac-Hartree-Slater wave functions and the Møller two-electron operator. The effects of relativity on the Auger rates of the ${}_{}{}^4{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$ and ${}_{}{}^4{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}$ states are found to be as large as two orders of magnitude. Relativity also very substantially affects the multiplet fluorescence yields of the ${}_{}{}^4{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$, ${}_{}{}^4{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}$, and ${}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{\mathrm{}(+)\mathrm{}}{}_{}{}^{}$ states. Inclusion of the Breit interaction, in addition to the Coulomb interaction, in the energy matrices for the intermediate-coupling calculations is found to have a pronounced effect on some multiplet Auger rates. The Breit interaction strongly influences the fine-structure splitting of some states, and, e.g., reverses the ${}_{}{}^4{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}-{}_{}{}^4{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$ level order above $Z\simeq 75$.