Kinetic-energy operator in the effective shell-model interaction

L. Jaqua, M. A. Hasan, J. P. Vary, Bruce R Barrett

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Differences in the Hartree-Fock and effective shell-model interaction arising from alternative treatments of the kinetic-energy operator in finite nuclear many-body problems are described. The Hartree-Fock single-particle energies and their relationship to experimental removal energies depend sensitively on whether or not the center-of-mass kinetic energy is retained in the nuclear Hamiltonian. Large effects in particle-hole energies are obtained which have important consequences for effective shell-model Hamiltonians. If the center-of-mass contribution of the kinetic-energy operator is removed from the Hamiltonian, substantial effects appear in a simple example of the shell-model spectra of O16 and O17 treated as four and five valence nucleons, respectively, outside a C12 core. The contributions to the energy coming from the valence, relative kinetic-energy operator push the energy spectra of both nuclei up by about 1 MeV relative to their ground states.

Original languageEnglish (US)
Pages (from-to)2333-2339
Number of pages7
JournalPhysical Review C - Nuclear Physics
Volume46
Issue number6
DOIs
StatePublished - 1992

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kinetic energy
operators
center of mass
interactions
valence
many body problem
particle energy
nucleons
energy
energy spectra
nuclei
ground state

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Kinetic-energy operator in the effective shell-model interaction. / Jaqua, L.; Hasan, M. A.; Vary, J. P.; Barrett, Bruce R.

In: Physical Review C - Nuclear Physics, Vol. 46, No. 6, 1992, p. 2333-2339.

Research output: Contribution to journalArticle

Jaqua, L. ; Hasan, M. A. ; Vary, J. P. ; Barrett, Bruce R. / Kinetic-energy operator in the effective shell-model interaction. In: Physical Review C - Nuclear Physics. 1992 ; Vol. 46, No. 6. pp. 2333-2339.
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