Skip to main content
Log in

Relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulthén type: New, approximate formulae

  • Atoms
  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

Relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulthén type are presented in the form of relatively simple analytic expressions. These formulae have been obtained by a suitable renormalization procedure applied to the quantities derived from an approximate Dirac equation which contains the exact Hulthén potential together with approximate angular momentum terms. When the screening exponent vanishes, the formulae reduce to the exact Coulomb expressions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bühring, W.: Z. Phys. A — Atoms and Nuclei310, 255 (1983)

    Google Scholar 

  2. McEnnan, J., Botto, D.J., Pratt, R.H., Bunaciu, D., Florescu, V.: Phys. Rev. A16, 1768 (1977)

    Google Scholar 

  3. Behrens, H., Bühring, W.: Electron radial wave functions and nuclear beta decay. Chap. 2–4. Oxford: Clarendon Press 1982

    Google Scholar 

  4. Rose, M.E.: Relativistic electron theory. New York, London: John Wiley&Sons 1961; German translation: Relativistische Elektronentheorie. Hochschultaschenbücher, Vol. 422a and 554a. Mannheim: Bibliographisches Institut 1971

    Google Scholar 

  5. Schiff, L.I.: Quantum mechanics. New York, Toronto, London: McGraw-Hill 1949

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bühring, W. Relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulthén type: New, approximate formulae. Z Physik A 312, 11–20 (1983). https://doi.org/10.1007/BF01411656

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01411656

Keywords

Navigation