Spin-dependent generalized collective model in relation to the [ital j]=3/2 interacting boson fermion model

Journal Article · Mon Aug 01 00:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.812· OSTI ID:7161045

Heumann, D ^[1]; Greiner, M; Scheid, W ^[2]; Braunss, G ^[3]

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1. Institut fuer Theoretische Physik der Justus-Liebig-Universitaet, Heinrich-Buff-Ring 16, D-35392 Giessen (Germany) Department of Physics, Columbia University, 538 West 120th Street, Box 68 Pupin, New York, NY 10027 (United States)
2. Institut fuer Theoretische Physik der Justus-Liebig-Universitaet, Heinrich-Buff-Ring 16, D-35392 Giessen (Germany)
3. Mathematisches Institut der Justus-Liebig-Universitaet, Arndtstrae 2, D-35392 Giessen (Germany)

The linearized collective Schroedinger equation for nuclear quadrupole vibrations describes nuclei with spin 3/2 in the ground state. Another model, which has been developed for nuclei with spin 3/2, is the [ital j]=3/2 interacting boson fermion model. We use a special property of the Clifford algebra, which appears in the linearized collective Schroedinger equation, to establish a connection between both models. We also compare the predictions of both approaches for various spin-3/2 nuclei.

• OSTI ID: 7161045
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 50:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
GROUND STATES
INTERACTING BOSON MODEL
NUCLEI
COLLECTIVE MODEL
CLIFFORD ALGEBRA
FERMIONS
NUCLEAR DEFORMATION
QUADRUPOLE MOMENTS
SCHROEDINGER EQUATION
SPIN
VIBRATIONAL STATES
ANGULAR MOMENTUM
DEFORMATION
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
EXCITED STATES
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
SHELL MODELS
WAVE EQUATIONS
663120* - Nuclear Structure Models & Methods- (1992-)