Elsevier

Nuclear Physics A

Volume 231, Issue 1, 7 October 1974, Pages 95-114
Nuclear Physics A

Density-dependent effective interactions in nuclei

https://doi.org/10.1016/0375-9474(74)90295-4Get rights and content

Abstract

Effective interactions chosen to have the same structure as the Brueckner reaction matrix were used in self-consistent field calculations on some closed shell nuclei. These finite range interactions are velocity-dependent and depend on the starting energy. The density dependence and starting energy dependence were determined by fitting the diagonal K-matrix elements of nuclear matter which were calculated with the Reid soft-core potential. Two interactions were derived: (i) Up = 0 from a K-matrix defined with a pure kinetic energy particle spectrum and (ii) Up ≠ 0 from a K-matrix with a self-consistent insertion in particle states just above the Fermi surface. The model Up ≠ 0 was also modified by changing the size of the correlation wound integral which determines the starting energy dependence. It was found that the removal of that part of the wound integral which is due to the repulsive core of the nucleon-nucleon interaction resulted in the best single-particle spectrum.

References (25)

  • W.D. Myers et al.

    Ann. of Phys.

    (1974)
  • B. Rouben et al.

    Phys. Lett.

    (1972)
  • H. Flocard et al.

    Phys. Lett.

    (1973)
  • D. Kolb et al.

    Nucl. Phys.

    (1973)
    D. Kolb, R. Y. Cusson and H. W. Schmitt, to be...
  • K.T.R. Davies et al.

    Phys. Rev.

    (1973)
    R.L. Becker et al.

    Phys. Rev.

    (1974)
  • H.S. Köhler

    Nucl. Phys.

    (1973)
  • R.V. Reid

    Ann. of Phys.

    (1968)
  • H.S. Köhler et al.

    Nucl. Phys.

    (1971)
  • W.D. Myers

    Nucl. Phys.

    (1970)
  • E. Fermi

    Nuovo Cim.

    (1954)
    H.S. Köhler

    Nucl. Phys.

    (1956)
  • K.A. Brueckner et al.

    Phys. Rev.

    (1960)
    H.S. Köhler

    Phys. Rev.

    (1965)
  • H.A. Bethe

    Ann. Rev. Nucl. Sci.

    (1971)
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    Supported in part by the US National Science Foundation grant number GP-39030X.

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