Pair truncation for rotational nuclei: j =(17/2 model

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

DOI:https://doi.org/10.1103/PhysRevC.40.968· OSTI ID:5466804

Halse, P; Jaqua, L; Barrett, B R ^[1]

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1. Department of Physics, University of Arizona, Tucson, Arizona 85721 (US)

The suitability of the pair condensate approach for rotational states is studied in a single {ital j}=17/2 shell of identical nucleons interacting through a quadrupole-quadrupole Hamiltonian. The ground band and a {ital K}=2 excited band are both studied in detail. A direct comparison of the exact states with those constituting the {ital SD} and {ital SDG} subspaces is used to identify the important degrees of freedom for these levels. The range of pairs necessary for a good description is found to be highly state dependent; {ital S} and {ital D} pairs are the major constituents of the low-spin ground-band levels, while {ital G} pairs are needed for those in the {gamma} band. Energy spectra are obtained for each truncated subspace. {ital SDG} pairs allow accurate reproduction of the binding energy and {ital K}=2 excitation energy, but still give a moment of inertia which is about 30% too small even for the lowest levels.

• OSTI ID: 5466804
• 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

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BINDING ENERGY
EIGENSTATES
ENERGY
ENERGY LEVELS
ENERGY SPECTRA
EXCITED STATES
HAMILTONIANS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MOMENT OF INERTIA
NUCLEAR MODELS
NUCLEI
PARTICLE PROPERTIES
QUANTUM OPERATORS
RENORMALIZATION
ROTATIONAL STATES
SHELL MODELS
SPECTRA
SPIN