Independent-particle Models

  • Anton Nikolaev Antonov
  • Peter Edward Hodgson
  • Ivan Zhelyazkov Petkov
Part of the Springer Series in Nuclear and Particle Physics book series (SSNUCLEAR)


In this chapter we present briefly the formalism of the Fermi-gas model (Sect. 1.1), the shell model (Sect. 1.2) and the Hartree-Fock method (Sect. 1.3). These examples of models and methods in the framework of the mean-field approximation, as well as the one-body density matrix, and the density and nucleon momentum distributions are necessary to understand how the nucleon-nucleon correlations are described in the remainder of the book.


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  1. 1.1
    S. Moshkovsky: In Handbuch der Physik, vol. 39 (Ed. by S. Flügge, Springer-Verlag, Berlin-Göttingen-Heidelberg 1957), Part 5Google Scholar
  2. 1.2
    J.M. Eisenberg, W. Greiner: Nuclear Theory, vol. 3 (North-Holland Publishing Company, Amsterdam-London 1972), Chaps 6–7Google Scholar
  3. 1.3
    K. Huang: Statistical Mechanics (Wiley, New York 1963)Google Scholar
  4. 1.4
    A.G. Sitenko, V.K. Tartakovskiĭ: Lectures on the Theory of the Nucleus (Pergamon Press, Oxford 1975)Google Scholar
  5. 1.4a
    A.N. Antonov, P.E. Hodgson, I.Zh. Petkov: Nucleon Momentum and Density Distributions in Nuclei (Clarendon Press, Oxford 1988)Google Scholar
  6. 1.5
    W. Czyż, K. Gottfried: Nucl. Phys. 21, 676 (1961)Google Scholar
  7. 1.6
    A.B. Migdal: ZETP USSR 32, 399 (1957)Google Scholar
  8. 1.6a
    A.B. Migdal Soviet Physics JETP 5, 333 (1957)MathSciNetGoogle Scholar
  9. 1.7
    V.A. Belyakov: ZETP USSR 40, 1210 (1961)Google Scholar
  10. 1.7a
    V.A. Belyakov Soviet Physics JETP 15, 850 (1961)Google Scholar
  11. 1.8
    R. Sartor, C. Mahaux: Phys. Rev. C21, 1546 (1980)ADSGoogle Scholar
  12. 1.9
    P. Ring, P. Schuck: The Nuclear Many-Body Problem (Springer-Verlag, New York-Heidelberg-Berlin 1980).Google Scholar
  13. 1.10
    J.P. Elliot, A.M. Lane: In Handbuch der Physik, vol. 39 (Ed. by S. Flügge, Springer-Verlag, Berlin-Göttingen-Heidelberg 1957), Part 4, p. 241Google Scholar
  14. 1.11
    D.R. Hartree: Proc. Camb. Phil. Soc. 24, 89 (1928)ADSMATHCrossRefGoogle Scholar
  15. 1.12
    V.A. Fock: Z. Phys. 61, 126 (1930)ADSCrossRefGoogle Scholar
  16. 1.13
    B.I. Bartz, Yu.L. Bolotin, E.V. Inopin, V.Yu. Gonchar: The Hartree-Fock Method in the Nuclear Theory (Naukova Dumka, Kiev 1982)Google Scholar
  17. 1.14
    J.W. Negele: Phys. Rev. C1, 1260 (1970)ADSGoogle Scholar
  18. 1.15
    J.P. Svenne: Adv. in Nucl. Phys. 11, 179 (1979)Google Scholar
  19. 1.16
    T.H.R. Skyrme: Phyl. Mag. 1, 1043 (1956)ADSMATHCrossRefGoogle Scholar
  20. 1.16a
    T.H.R. Skyrme Nucl. Phys. 9, 615 (1959)MATHCrossRefGoogle Scholar
  21. 1.17
    D. Gogny, R. Padjen: Nucl. Phys. A293, 365 (1977)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Anton Nikolaev Antonov
    • 1
  • Peter Edward Hodgson
    • 2
  • Ivan Zhelyazkov Petkov
    • 1
  1. 1.Institute of Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Nuclear Physics LaboratoryUniversity of OxfordOxfordUK

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