Generalized Partial Dynamical Symmetry in Nuclei

Abstract

We introduce the notion of a generalized partial dynamical symmetry for which part of the eigenstates have part of the dynamical symmetry. This general concept is illustrated with the example of Hamiltonians with a partial dynamical O(6) symmetry in the framework of the interacting boson model. The resulting spectrum and electromagnetic transitions are compared with empirical data in ${}^{162}$Dy.

12 pages, 3 figures, 1 table, Phys. Rev. Lett., in press

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• Partial Dynamical Symmetry in Deformed Nuclei
• Partial Dynamical SU(3) Symmetry and the Nature of the Lowest K=0 Collective Excitation in Deformed Nuclei
• Partial dynamical symmetry in a fermion system
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• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
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• Partial dynamical symmetries in quantum systems
• Partial and quasi dynamical symmetries in quantum many-body systems
• SU(3) partial dynamical symmetry and nuclear shapes
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• Exact Dynamical and Partial Symmetries