Zeitschrift für Physik A Atomic Nuclei

, Volume 332, Issue 3, pp 251–257 | Cite as

Nonlocal interactions and particle number fluctuations in a solvable model

  • E. S. Hernández
  • E. Schwarzkopf
Nuclear Structure and Reactions


We present an extension of Bardeen's model for the formation of Cooper pairs that includes a schematic representation of a nonlocal interaction. The model is exactly solvable and we investigate its Hartree-Fock, BCS and Hartree-Fock-Bogoliubov approximations focusing upon the role and significance of the particle number dispersions.


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  1. 1.
    Waroquier, W., Heyde, K., Wenes, G.: Nucl. Phys. A404, 269 (1983)Google Scholar
  2. 2.
    Tondeur, F., Brack, M., Farine, M., Pearson, J.M.: Nucl. Phys. A420, 297 (1984)Google Scholar
  3. 3.
    Su, R.K., Yang, S.D., Kuo, T.T.S.: Phys. Rev. C35, 1539 (1987)Google Scholar
  4. 4.
    Juri, L.O., Hernández, E.S.: (submitted)Google Scholar
  5. 5.
    Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)Google Scholar
  6. 6.
    Beiner, M., Flocard, H., Nguyen Van, Giai, Quentin, P.: Nucl. Phys. A238, 29 (1975)Google Scholar
  7. 7.
    Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev.108, 1175 (1957)Google Scholar
  8. 8.
    Friedrich, J., Reinhard, P.G.: Phys. Rev. C33, 335 (1986)Google Scholar
  9. 9.
    Lipkin, H.J., Meshkov, N., Glick, A.J.: Nucl. Phys.62, 188 (1965)Google Scholar
  10. 10.
    Gilmore, R.: Rev. Mex. Fis. C3, 417 (1971)Google Scholar
  11. 11.
    Jezek, D.M., Hernández, E.S.: Phys. Rev. C35, 1555 (1987)Google Scholar
  12. 12.
    Krieger, S.J.: Nucl. Phys. A276, 12 (1977)Google Scholar
  13. 13.
    Ring, P., Schuck, P.: The nuclear many body problem. Berlin, Heidelberg, New York: Springer 1980Google Scholar
  14. 14.
    Goodman, A.L.: Hartree-Fock-Bogoliubov theory with applications to nuclei. Advances in Nuclear Physics, Vol. II, 263. Negele, J.W., Vogt, E. (eds.). New York: Plenum Press 1979Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • E. S. Hernández
    • 1
  • E. Schwarzkopf
    • 1
  1. 1.Departamento de Fisica, Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos AiresArgentina

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