Test of the fermion dynamical symmetry model microscopy in the sd shell

Journal Article · Wed Jul 01 00:00:00 EDT 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.36.372· OSTI ID:6492048

Halse, P

The recently formulated fermion dynamical symmetry model treats low-lying collective levels as states classified in a pseudo-orbit pseudo-spin (k-i) basis having either k = 1 and zero i seniority, or i = (3/2) and zero k seniority. The validity of this suggestion, which has not previously been subjected to a microscopic examination, is determined for even-even nuclei in the sd shell, for which the model is phenomenologically successful, by comparing these states with the eigenfunctions of a realistic Hamiltonian. Most low-lying levels are almost orthogonal to the fermion dynamical symmetry model zero seniority subspaces.

• Research Organization: Department of Physics, University of Arizona, Tucson, Arizona 85721 and Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104
• OSTI ID: 6492048
• Journal Information: Phys. Rev. C; (United States), Vol. 36:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EVEN-EVEN NUCLEI
NUCLEAR STRUCTURE
SHELL MODELS
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
EIGENFUNCTIONS
ENERGY LEVELS
FERMIONS
HAMILTONIANS
INTERACTING BOSON MODEL
ISOSPIN
MATRIX ELEMENTS
RENORMALIZATION
SPIN
SU-3 GROUPS
SYMMETRY
ANGULAR MOMENTUM
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
PARTICLE PROPERTIES
QUANTUM OPERATORS
SU GROUPS
SYMMETRY GROUPS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models