Generalized Partial Dynamical Symmetry in Nuclei

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Generalized partial dynamical symmetry in nuclei.

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 162Dy.

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Partial Dynamical Symmetries in Nuclei

When a dynamical symmetry occurs all properties of the system (e.g. energy eigenvalues) and wave functions are known analytically thus providing clarifying insights into complex dynamics. The majority of nuclei, however, do not satisfy the predictions of exact dynamical symmetries. Instead, one often finds that only a subset of states fulfill the symmetry while other states do not. In such circ...

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Generalized Partial Dynamical Symmetries in Nuclear Spectroscopy

Explicit forms of IBM Hamiltonians with a generalized partial dynamical O(6) symmetry are presented and compared with empirical data in 162Dy. A dynamical symmetry corresponds to a situation in which the Hamiltonian is written in terms of the Casimir operators of a chain of nested algebras G1 ⊃ G2 ⊃ . . . ⊃ Gn , (1) and has the following properties. (i) Solvability. (ii) Quantum numbers related...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2002

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.89.222501