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arxiv: nucl-th/0001036 · v1 · submitted 2000-01-19 · ⚛️ nucl-th

F-spin as a Partial Symmetry

classification ⚛️ nucl-th
keywords f-spinpartialsymmetryhamiltoniansmultipletsnucleistatesbands
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We use the empirical evidence that F-spin multiplets exist in nuclei for only selected states as an indication that F-spin can be regarded as a partial symmetry. We show that there is a class of non-F-scalar IBM-2 Hamiltonians with partial F-spin symmetry, which reproduce the known systematics of collective bands in nuclei. These Hamiltonians predict that the scissors states have good F-spin and form F-spin multiplets, which is supported by the existing data.

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