Atomic multiplet structures obtained from Hartree-Fock, statistical exchange and local spin density approximations

Numerical calculations by the Hartee-Fock, the statistical exchange and the local spin density approximations of the multiplet structures of eight light atoms and their ions are compared with one another and with experiment. It is concluded that the statistical approximation agrees well with Hartree-Fock, the local spin density approximation agrees well with experiment, and the Xα generalisation of the statistical exchange approximation does not include correlation effects. A peculiarity of approximation exchange schemes which depend on the one-electron density (instead of the one-electron orbitals) is pointed out. (author)