The G-Matrix in Finite Nuclei

  • H. Müther
  • P. U. Sauer


One of the central aims of nuclear structure theory is to derive the properties of nuclei from a realistic nucleon-nucleon (NN) interaction. Such a realistic NN interaction should be determined to describe the interaction of two nucleons in a vacuum, which means that it should reproduce the experimental data on NN scattering and the properties of the deuteron. Typical examples of such realistic NN interactions include purely phenomenological NN potentials, assuming a hard-core [2.1] or a soft-core [2.2] parameterization of the short-range repulsion, but also more microscopic approaches based on the meson-exchange model [2.3,4]. Assuming one of these realistic interactions, one tries to solve the many-body problem of A interacting nucleons and compares the results obtained for observables characterizing the ground-state and low-energy excitations with the experimental data.


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  1. [2.1]
    T. Hamada and I. Johnston, Nucl. Phys. 34, 382 (1962)CrossRefGoogle Scholar
  2. [2.2]
    R.V. Reid, Ann. Phys. (N.Y.) 50, 411 (1968)ADSCrossRefGoogle Scholar
  3. [2.3]
    R. Machleidt, Adv. in Nucl. Phys. 19, 189 (1989)Google Scholar
  4. [2.4]
    R. Vinh Mau, in Mesons in Nuclei Vol. I ( North-Holland, Amsterdam, 1979 ) p. 151Google Scholar
  5. [2.5]
    H. Muther, Prog. in Part. and Nucl. Phys. 17, 97 (1986)Google Scholar
  6. [2.6]
    B.D. Day, Phys. Rev. C24, 1203 (1981)ADSGoogle Scholar
  7. [2.7]
    B.D. Day and R.B. Wiringa, Phys. Rev. C32, 1057 (1985)ADSGoogle Scholar
  8. [2.8]
    P.J. Brussard and P.W.M. Glaudemans, Shell Model Applications in Nuclear Spectroscopy ( North-Holland, Amsterdam, 1977 )Google Scholar
  9. [2.9]
    H. Feshbach, Ann. of Phys. 19, 287 (1962)MathSciNetADSMATHCrossRefGoogle Scholar
  10. [2.10]
    C. Bloch and H. Horowitz, Nucl. Phys. 8, 51 (1958)CrossRefGoogle Scholar
  11. [2.11]
    B.H. Brandow, Rev. Mod. Phys. 39, 771 (1967)ADSCrossRefGoogle Scholar
  12. [2.12]
    H. Maher, A. Polls, and T.T.S. Kuo, Nucl. Phys. A435, 548 (1985)CrossRefGoogle Scholar
  13. [2.13]
    T.T.S. Kuo and G.E. Brown, Nucl. Phys. 85, 40 (1966)CrossRefGoogle Scholar
  14. [2.14]
    T.T.S. Kuo and E. Osnes, Folded Diagram Theory of the Effective Interaction in Atomic Nuclei, Lecture Notes in Physics 364 ( Springer-Verlag, Berlin and Heidelberg, 1990 )Google Scholar
  15. [2.15]
    H.A. Bethe, B.H. Brandow and A.G. Petschek, Phys. Rev. 129, 225 (1962)ADSCrossRefGoogle Scholar
  16. [2.16]
    J.D. Jeukenne, A. Lejeune, and C. Mahaux, Phys. Rep. C25, 83 (1976)Google Scholar
  17. [2.17]
    T.T.S. Kuo, Z.Y. Ma, and R. Vinh Mau, Phys. Rev. C33, 717 (1987)Google Scholar
  18. [2.18]
    J.G. Zabolitzky, Phys. Lett. B47, 487 (1973)Google Scholar
  19. [2.19]
    P.U. Sauer, Nucl. Phys. A150, 467 (1970)CrossRefGoogle Scholar
  20. [2.20]
    M.I. Haftel and F. Tabakin, Nucl. Phys. A158, 1 (1970)CrossRefGoogle Scholar
  21. [2.21]
    R.K. Tripathi, A. Faessler, and H. Mather, Phys. Rev. C10, 2080 (1974)Google Scholar
  22. [2.22]
    C.W. Wong, Nucl. Phys. A91, 399 (1967)Google Scholar
  23. [2.23]
    M. Moshinsky, Nucl. Phys. 13, 104 (1959)MathSciNetMATHCrossRefGoogle Scholar
  24. [2.24]
    R.J. Eden and V.J. Emery, Proc. Roy. Soc. A248, 266 (1958)ADSMATHCrossRefGoogle Scholar
  25. [2.25]
    M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions ( Dover, New York, 1964 )MATHGoogle Scholar
  26. [2.26]
    B.R. Barret, R.G.L. Hewitt, and R.J. McCarthy, Phys. Rev. C3, 1137 (1971)ADSGoogle Scholar
  27. [2.27]
    E.W. Krenciglowa, C.L. Kung, T.T.S. Kuo, and E. Osnes, Ann. Phys. (N.Y.) 101, 154 (1976)ADSCrossRefGoogle Scholar
  28. [2.28]
    R.L. Becker, in Effective Interactions and Operators in Nuclei, edited by B.R. Barret ( Springer-Verlag, Berlin and Heidelberg, 1975 ) p. 96Google Scholar
  29. [2.29]
    J.P. Vary, P.U. Sauer, and C.W. Wong, Phys. Rev. C7, 1776 (1973)ADSGoogle Scholar
  30. [2.30]
    H.M. Sommermann, H. Muther, K.C. Tam, T.T.S. Kuo, and A. Faessler, Phys. Rev. C23, 1765 (1981)ADSGoogle Scholar
  31. [2.31]
    F. Coester, S. Cohen, B.D. Day, and C.M. Vincent, Phys. Rev. Cl, 769 (1970)Google Scholar
  32. [2.32]
    R. Machleidt, H. Muther, and A. Faessler, Nucl. Phys. A241, 18 (1975)CrossRefGoogle Scholar

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© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • H. Müther
  • P. U. Sauer

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