Skip to main content
SpringerLink
Log in

A nuclear mass formula based onSU(4) symmetry

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

It is argued that mass anomalies at the N≈Z line are associated with SU(4) isospin-spin symmetry. Drawing on these arguments, a Weizsäcker-type nuclear mass formula is investigated which has the eigenvalue of the quadratic Casimir operator of SU(4) as a Wigner term. This SU(4)-based mass formula yields a better agreement than the one with the usual Wigner term |N—Z|/A. In addition, the SU(4) eigenvalue expression adequately replaces the usual pairing term of the Weizsäcker formula giving a lower overall rms deviation than the latter.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. Heisenberg,Z. Phys. 77, 1 (1932).

    Article  ADS  MathSciNet  Google Scholar 

  2. J. M. Soper, inIsospin in Nuclear Physics, D. H. Wilkinson, ed. (North-Holland, Amsterdam, 1969), Chap. 6.

    Google Scholar 

  3. E. P. Wigner,Phys. Rev. 51, 106 (1937).

    Article  ADS  Google Scholar 

  4. F. Hund,Z. Phys. 105, 202 (1937).

    Article  Google Scholar 

  5. I. Talmi,Simple Models of Complex Nuclei. The Shell Model and Interacting Boson Model (Harwood, New York, 1993).

    Google Scholar 

  6. E. Feenberg and E. P. Wigner,Phys. Rev. 51, 15 (1937).

    ADS  Google Scholar 

  7. P. Franzini and L. A. Radicati,Phys. Lett. 6, 322 (1963).

    Article  ADS  Google Scholar 

  8. M. Chakraborty, V. K. B. Kota, and J. C. Parikh,Phys. Rev. Lett. 45, 1073 (1980).

    Article  ADS  Google Scholar 

  9. P. Van Isacker, D. D. Warner, and D. S. Brenner,Phys. Rev. Lett. 74, 4607 (1995).

    Article  ADS  Google Scholar 

  10. J.-Y. Zhang, R. F. Casten, and D. S. Brenner,Phys. Lett. B 227, 1 (1989).

    Article  ADS  Google Scholar 

  11. G. Audi and A. H. Wapstra,Nucl. Phys. A 565, 1 (1993).

    Article  ADS  Google Scholar 

  12. F. Tondeur, M. Brack, M. Farine, and J. M. Pearson,Nucl. Phys. A 420, 297 (1984).

    Article  ADS  Google Scholar 

  13. P. Möller, J. R. Nix, W. D. Myers, and W. J. Swiatecki,Atomic Data and Nuclear Data Tables 59, 185 (1995).

    Article  ADS  Google Scholar 

  14. Y. Aboussiret al., Nucl. Phys. A 549, 155 (1992).

    Article  ADS  Google Scholar 

  15. M. Cauvin, V. Gillet, F. Soulmagnon, and M. Danos,Nucl. Phys. A 361, 192 (1981).

    Article  ADS  Google Scholar 

  16. J. P. Elliott and J. A. Evans,Phys. Lett. B 101, 216 (1981).

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. B. K. Gjelsten

    Present address: Fysisk Institutt, Universitetet i Bergen, 5007, Bergen, Norway

Authors and Affiliations

  1. GANIL, BP 5027, F-14076, Caen Cedex 5, France

    P. Van Isacker, O. Juillet & B. K. Gjelsten

Authors
  1. P. Van Isacker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Juillet
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. K. Gjelsten
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Van Isacker, P., Juillet, O. & Gjelsten, B.K. A nuclear mass formula based onSU(4) symmetry. Found Phys 27, 1047–1060 (1997). https://doi.org/10.1007/BF02551152

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02551152

Keywords

Search

Navigation