Exact boson mappings for the nuclear neutron (proton)pshell with the symmetry SO(7)⊃SU(3)
- 1 March 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 31 (3) , 992-1006
- https://doi.org/10.1103/physrevc.31.992
Abstract
A special closed set of commutation relations satisfied by the fermion pair and multipole operators for a major shell in LST coupling is found. The case of the neutron (proton) p shell with the structure SO(7)⊃SU(3) is studied in detail. An exact Dyson boson mapping is constructed, which is subsequently hermitized. The method is directly applicable to higher shells and through the use of the experimentally plausible pseudo-SU(3) symmetry may lead to a theoretical foundation for the interacting boson model near the SU(3) limit.Keywords
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