Shifted large-N expansion for the energy levels of neutral atoms

Abstract

Energy levels of neutral atoms have been re-examined by applying the method of shifted large-N expansion (whereN is the number of spatial dimensions) to the model Yukawa potential with a modified screening parameter. The predicted shell binding energies are found to be quite accurate over the entire range of the atomic number Z up to 84 and compare very well with those obtained within the framework of hypervirial-Pade scheme. It is observed that the large-N technique which is hitherto used in different contexts may also be applied to other areas of atomic physics.