Quadrupole collective models from the Hartree-Fock standpoint

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.1025· OSTI ID:5665379

Dobaczewski, J ^[1]; Skalski, J ^[2]

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1. Service de Physique Theorique, Centre d'Etudes Nucleaires de Saclay, 91191 Gif-sur-Yvette CEDEX, France (FR)
2. Soltan Institute for Nuclear Studies, PL-00-681 Warsaw, Poland

The assumptions underlying several quadrupole collective models are tested by a comparison with results of self-consistent Hartree-Fock plus BCS calculations using the Skyrme SIII interaction. We analyze the deformed states of {sup 128}Ba in terms of condensates of fermion pairs which have been introduced in the interacting boson model and in the quadrupole phonon model, and in terms of multipole components of the density suggested by the Bohr and Mottelson model. We compare the deformation energy curves obtained by using (i) several multipole truncations of the Hartree-Fock plus BCS pairs, (ii) pairs obtained by a variation after truncation, and (iii) truncated series of multipole correlation energies. The influence of the core and vacuum polarization effects on the structure of the fermion pairs is found to be fairly strong.

• OSTI ID: 5665379
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

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