Elsevier

Nuclear Physics A

Volume 204, Issue 3, 16 April 1973, Pages 485-496
Nuclear Physics A

Realistic one-particle density matrix and single-particle description of nuclei

https://doi.org/10.1016/0375-9474(73)90389-8Get rights and content

Abstract

Starting from the experimental data on elastic electron scattering, realistic one-particle density matrices for 16O and 40Ca are obtained, both with fractional occupation numbers and full occupation of the first A natural orbitals. A phenomenological single-nucleon Hamiltonian is then constructed and diagonalized. The deduced single-particle energies are compared with those obtained in the Hartree-Fock approximation. The consistency of all experimental data concerning the ground state is checked with the aid of a sum rule for the total binding energy involving only the one-particle density matrix and the hole energies.

References (29)

  • A. Agodi et al.

    Boll. Società Italiana di Fisica

    (1972)
  • J.B. Bellicard et al.

    Phys. Rev. Lett.

    (1967)
  • P.M. Endt et al.

    Nucl. Phys.

    (1967)
  • H. Tyrén et al.

    Nucl. Phys.

    (1966)
    M. Riou

    Rev. Mod. Phys.

    (1965)
  • A.N. James et al.

    Nucl. Phys.

    (1969)
  • U. Amaldi et al.

    Phys. Lett.

    (1966)
    G.Campos Venuti et al.

    Momentum distributions of high missing energy protons in 40Ca

  • J.P. Elliott et al.

    Nucl. Phys.

    (1968)
  • H.L. Acker et al.

    Nucl. Phys.

    (1966)
  • J.W. Negele

    Phys. Rev.

    (1970)
  • L.D. Miller

    Phys. Rev. Lett.

    (1972)
  • L.D. Miller et al.

    Phys. Rev.

    (1972)
  • B.H. Brandow

    Phys. Rev.

    (1966)

    Rev. Mod. Phys.

    (1967)
  • A. Agodi et al.

    Nucl. Phys.

    (1971)
  • P.O. Löwdin

    Phys. Rev.

    (1955)
  • Cited by (12)

    • Energy levels of A = 21-44 nuclei (VI)

      1978, Nuclear Physics, Section A
    • Spectral function calculation in a natural orbital basis

      1996, Journal of Physics G: Nuclear and Particle Physics
    View all citing articles on Scopus
    View full text