Skip to main content
Log in

Selfconsistent thomas fermi method for spherical nuclei

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

Thomas-Fermi calculations for spherical nuclei including Coulomb forces are performed using the simple two- and three-body contact forces of the Skyrme type. Gradient correction terms of the v. Weizsäcker- and Bethe-type are studied phenomenologically. Agreement with experimental binding energies is found choosing the strength of the v. Weizsäcker contribution as given by the semiclassical expansion of the kinetic energy density, and fitting the strength of the Bethe term. The original v. Weizsäcker correction without attenuation factor leads to a good description of density profiles; however, it overestimates the surface energy appreciably.

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. Wong, C.Y., Maruhn, J.A., Welton, T.A.: Nucl. Phys. A253, 469 (1975)

    Google Scholar 

  2. Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)

    Google Scholar 

  3. Beiner, M., Flocard, H., Nguyen van Giai, Quentin, P.: Nucl. Phys. A238, 29 (1975)

    Google Scholar 

  4. Bonche, P., Koonin, S., Negele, J.W.: Phys. Rev. C13, 1226 (1976)

    Google Scholar 

  5. Koonin, S.E.: Phys. Lett.61B, 227 (1976)

    Google Scholar 

  6. Holzwarth, G.: Phys. Lett. 1976 (in press)

  7. v. Weizsäcker, C.F.: Z. Physik96, 431 (1935)

    Google Scholar 

  8. Bethe, H.A.: Phys. Rev.167, 879 (1968)

    Google Scholar 

  9. Kirshnits, D.A.: Field Theoretical Methods in Many-Body Systems. London: Pergamon Press 1967

    Google Scholar 

  10. Brack, M., Jennings, B.K., Chu, Y.H.: Phys. Lett.65B, 1 (1976)

    Google Scholar 

  11. Brueckner, K.A., Buchler, J.R., Jorna, S., Lombard, R.J.: Phys. Rev.171, 1188 (1968)

    Google Scholar 

  12. Brueckner, K.A., Buchler, J.R., Clark, R.C., Lombard, R.J.: Phys. Rev.181, 1543 (1969)

    Google Scholar 

  13. Lombard, R.: Ann. Phys. (NY)77, 380 (1973)

    Google Scholar 

  14. Negele, J.W., Vautherin, D.: Phys. Rev. C5, 1472 (1971)

    Google Scholar 

  15. Collard, H.R., Elton, L.R.B., Hofstadter, R.: In “Nuclear Radii”, ed. H. Schopper, Landolt-Börnstein. Berlin: Springer 1967, New Series, Group I, Vol. 2

    Google Scholar 

  16. Bohigas, O., Campi, X., Krivine, H., Treiner, J.: Phys. Lett.64B, 381 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eckart, G., Holzwarth, G. Selfconsistent thomas fermi method for spherical nuclei. Z Physik A 281, 385–389 (1977). https://doi.org/10.1007/BF01408187

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01408187

Keywords

Navigation