Skip to main content
Log in

The nonlinearity of the scalar field in a relativistic mean-field theory of the nucleus

  • Nuclear Structure and Spectroscopy
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

The form of the nonlinear self-coupling of the scalar meson field in a nuclear relativistic mean-field theory is investigated. The conventional ansatz is shown to produce instabilities in critical applications. A modified self-coupling is proposed which guarantees stability under all conditions.

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. Walecka, J.D.: Ann. Phys.83, 491 (1974)

    Google Scholar 

  2. Boguta, J., Bodmer, A.R.: Nucl. Phys. A292, 414 (1977)

    Google Scholar 

  3. Serot, B.D., Walecka, J.D.: Adv. Nucl. Phys.15 (1986)

  4. Reinhard, P.-G., Rufa, M., Greiner, W., Friedrich, J.: Z. Phys. A — Atomic Nuclei323, 13 (1986)

    Google Scholar 

  5. Lee, S.Y., Fink, J., Umar, A.S., Strayer, M.R., Balantekin, A.B., Maruhn, J.A., Reinhard, P.-G., Greiner, W.: Phys. Rev. Lett.59, 1171 (1987)

    Google Scholar 

  6. Price, G.E., Walker, G.E.: Phys. Rev. C36, 354 (1987)

    Google Scholar 

  7. Pannert, W., Ring, P., Boguta, J.: Phys. Rev. Lett.59, 2420 (1987)

    Google Scholar 

  8. Cusson, R.Y., Reinhard, P.-G., Molitoris, J.J., Stoecker, H., Strayer, M.R.; Greiner, W.: Phys. Rev. Lett.55, 2786 (1985)

    Google Scholar 

  9. Bai, J.J., Cusson, R.Y., Wu, J., Reinhard, P.-G., Stoecker, H., Greiner, W., Strayer, M.R.: Z. Phys. A — Atomic Nuclei A326, 269 (1987)

    Google Scholar 

  10. Itzykson, C., Zuber, J.-B.: Quantum field theory. Chap. 9–2. New York: McGraw-Hill 1980

    Google Scholar 

  11. Brockmann, R., Machleidt, R.: Phys. Lett.149B 283 (1987)

    Google Scholar 

  12. TerHaar, B., Malfliet, L.: Phys. Lett.172B, 10 (1986)

    Google Scholar 

  13. Reinhard, P.-G., Rufa, M., Maruhn, J.A., Greiner, W., Strayer, M.R.: (to be published)

  14. Horowitz, C.J., Serot, B.D.: Nucl. Phys. A368, 503 (1981)

    Google Scholar 

  15. Bouyssy, A., Marcos, S., Pham, van Thieu: Nucl. Phys. A422, 541 (1984)

    Google Scholar 

  16. Reinhard, P.-G., Friedrich, J., Voegler, N.: Z. Phys. A — Atoms and Nuclei316, 207 (1984)

    Google Scholar 

  17. Friedrich, H., Reinhard, P.-G.: Phys. Rev. C33, 335 (1986)

    Google Scholar 

  18. Brockmann, R.: Private communication

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author thanks J. Fink and M. Rufa for many discussions which brought up the idea to this paper. He also thanks the computing centers of the University Erlangen and of the GSI Darmstadt for the supply of computing time for the extensive fits of this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reinhard, P.G. The nonlinearity of the scalar field in a relativistic mean-field theory of the nucleus. Z. Physik A - Atomic Nuclei 329, 257–266 (1988). https://doi.org/10.1007/BF01290231

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01290231

PACS

Navigation