INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.21, no.31, pp.6465-6476, 2006 (SCI-Expanded)
Energy levels of neutral atoms have been reexamined by applying an alternative perturbative scheme in solving the Schrodinger equation for the Yukawa potential model with a modified screening parameter. The predicted shell binding energies axe 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 and the method of shifted large-N expansion. It is observed that the new perturbative method may also be applied to the other areas of atomic physics.