Vector coherent state theory in new perspective: A hybrid mapping from fermion to fermion-boson space

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.82· OSTI ID:5987514

Chen, J ^[1]; Hecht, K T ^[2]; Feng, D H ^[3]

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1. Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 (USA) Department of Physics, Nanjing University, Nanjing, (People's Republic of China)
2. Department of Physics, University of Michigan, Ann Arbor, Michigan 48109 (USA)
3. Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 (USA)

Based on a hybrid mapping, the vector coherent state theory is revisited. The hybrid mapping of a fermion state with {ital N} coherent (collective) fermion pairs and {ital u} unpaired (noncollective) fermions leads to a hybrid state with {ital N} bosons and {ital u} fermions. The hybrid mapping is {ital exact} by which the formidable problem of finding the matrix elements of a fermion operator for a (2{ital N}+{ital u})-fermion system is reduced to that for a {ital u}-fermion system. The Pauli effects are totally taken into account by the overlap matrix (the {ital K} matrix) for the fermion states. The application to a fermion system with the Sp(6){contains}U(3) dynamical symmetry is discussed where it is vividly seen that the occurrence of the dynamical Pauli factors is related to the fermion pair{leftrightarrow}boson transformation. The intricate properties of the intrinsic operators and the {ital K} operator are discussed in detail.

• OSTI ID: 5987514
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:1; 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
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
ENERGY-LEVEL TRANSITIONS
EXCITATION
FERMIONS
FORM FACTORS
K MATRIX
LIE GROUPS
MAPPING
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
PARTICLE PROPERTIES
PAULI FORM FACTORS
SP GROUPS
SYMMETRY GROUPS