Numerical-parameterized relativistic optimized effective potential for atoms

A numerical-parameterized solution of the relativistic optimized effective potential equations for atoms is proposed. The analytic continuation method is used to solve the single-particle Dirac equation. This method provides an accurate solution and allows for a straightforward use of the logarithmic transformation. The equations are solved within both a single and a multi-configurational framework. The single-configuration results for the ground state of the noble gases from Ne to Rn are compared with those obtained from a fully numerical solution of the relativistic optimized effective potential equations as well as with the Dirac-Hartree-Fock results. The performance of the multi-configuration version of the method is illustrated by studying a number of excited states of the carbon and iron atoms