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.Comment: 12 pages, 3 figures, 1 table, Phys. Rev. Lett., in pres