Skip to main content
Log in

Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

The quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and N = 50 , N = 82 isotones are calculated within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. Two sets of published functionals are used to estimate systematic errors of the present self-consistent approach. They differ by the spin-orbit and effective tensor force parameters. The functional DF3-a leads to quadrupole moments in reasonable agreement with the experimental ones for most, but not all, nuclei considered.

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. N.J. Stone, At. Data Nuclear Data Tables 90, 75 (2005).

    Article  ADS  Google Scholar 

  2. P. Vingerhoets, K.T. Flanagan, M. Avgoulea et al., Phys. Rev. C 82, 064311 (2010).

    Article  ADS  Google Scholar 

  3. I.N. Borzov, E.E. Saperstein, S.V. Tolokonnikov, Phys. At. Nucl. 71, 469 (2008).

    Article  Google Scholar 

  4. I.N. Borzov, E.E. Saperstein, S.V. Tolokonnikov, G. Neyens, N. Severijns, Eur. Phys. J. A 45, 159 (2010).

    Article  ADS  Google Scholar 

  5. A.V. Smirnov, S.V. Tolokonnikov, S.A. Fayans, Sov. J. Nucl. Phys. 48, 995 (1988).

    Google Scholar 

  6. S.A. Fayans, JETP Lett. 68, 169 (1998).

    Article  ADS  Google Scholar 

  7. S.A. Fayans, S.V. Tolokonnikov, E.L. Trykov, D. Zawischa, Nucl. Phys. A 676, 49 (2000).

    Article  ADS  Google Scholar 

  8. A.B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Wiley, New York, 1967).

  9. M. Honma, T. Otsuka, B.A. Brown, T. Mizusaki, Phys. Rev. C 69, 034335 (2004).

    Article  ADS  Google Scholar 

  10. S.V. Tolokonnikov, S. Kamerdzhiev, D. Voytenkov, S. Krewald, E.E. Saperstein, Phys. Rev. C 84, 064324 (2011) arXiv:1107.2432v2 [nucl-th].

    Article  ADS  Google Scholar 

  11. S.V. Tolokonnikov, E.E. Saperstein, Phys. Atom. Nucl. 73, 1684 (2010).

    Article  ADS  Google Scholar 

  12. V.A. Khodel, E.E. Saperstein, Phys. Rep. 92, 183 (1982).

    Article  ADS  Google Scholar 

  13. E.E. Saperstein, S.V. Tolokonnikov, Phys. Atom. Nucl. 74, 1277 (2011).

    Article  ADS  Google Scholar 

  14. V.G. Soloviev, Theory of Complex Nuclei (Pergamon Press, Oxford, 1976).

  15. B.A. Brown, T. Duguet, T. Otsuka et al., Phys. Rev. C 74, 061303(R) (2006).

    ADS  Google Scholar 

  16. M. Bender, K. Bennaceur, T. Duguet et al., Phys. Rev. C 80, 064302 (2009).

    Article  ADS  Google Scholar 

  17. S.S. Pankratov, M.V. Zverev, M. Baldo, U. Lombardo, E.E. Saperstein, Phys. Rev. C 84, 014321 (2011).

    Article  ADS  Google Scholar 

  18. M. Baldo, U. Lombardo, E.E. Saperstein, M.V. Zverev, Phys. Rep. 391, 261 (2004).

    Article  ADS  Google Scholar 

  19. A. Pastore, F. Barranco, R.A. Broglia, E. Vigezzi, Phys. Rev. C 78, 024315 (2008).

    Article  ADS  Google Scholar 

  20. W. Kohn, L.J. Sham, Phys. Rev. A 140, 1133 (1965).

    MathSciNet  ADS  Google Scholar 

  21. L.N. Oliveira, E.K.U. Gross, W. Kohn, Phys. Rev. Lett. 60, 2430 (1988).

    Article  ADS  Google Scholar 

  22. A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. 1 (Benjamin, New York, Amsterdam, 1969). .

  23. V.I. Tselayev, Sov. J. Nucl. Phys. 50, 780 (1989).

    Google Scholar 

  24. S. Kamerdzhiev, J. Speth, G. Tertychny, Phys. Rep. 393, 1 (2004).

    Article  Google Scholar 

  25. Abhishek Mukherjee, Y. Alhassid, G.F. Bertsch, Phys. Rev. C 83, 014319 (2011).

    Article  ADS  Google Scholar 

  26. S.P. Kamerdzhiev, A.V. Avdeenkov, D.A. Voitenkov, Phys. Atom. Nucl. 74, 1478 (2011).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to S. V. Tolokonnikov or E. E. Saperstein.

Additional information

Communicated by J. Wambach

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tolokonnikov, S.V., Kamerdzhiev, S., Krewald, S. et al. Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems. Eur. Phys. J. A 48, 70 (2012). https://doi.org/10.1140/epja/i2012-12070-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2012-12070-1

Keywords

Navigation