Short- and long-range behavior of the inner and outer densities

摘要

We report the short- and long-range behavior of the inner $ rho_<(r) $ and outer $ rho_>(r) $ densities, which result from a rigorous partitioning of the spherically averaged one-electron density $ rho(r) $ in many-electron atoms. It is found that for a small r, $ rho_<(r) $ has one-electron nature but $ rho_>(r) $ has two-electron nature. For a large r, however, the opposite is true.