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F-spin as a Partial Symmetry

A. Leviatan·J. N. Ginocchio
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Abstract

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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A. Leviatan, J. N. Ginocchio. 2000-01-19. F-spin as a Partial Symmetry. https://doi.org/10.1103/physrevc.61.024305

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