A perturbative treatment for the energy levels of neutral atoms


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Ikhdair S. M. , Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.21, no.31, pp.6465-6476, 2006 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 31
  • Publication Date: 2006
  • Doi Number: 10.1142/s0217751x06034240
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.6465-6476
  • Keywords: Yukawa potential, perturbation theory, COULOMB, POTENTIALS, EXPANSION

Abstract

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.