## Abstract

We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the structure of the lowest K =0^{+} (K=0_{2}) collective excitation in deformed nuclei. We consider an interacting boson model Hamiltonian whose ground and γ bands have good SU(3) symmetry, while the K=0_{2} band is mixed. It is shown that the double-phonon components in the K=0_{2} wave function arise from SU(3) admixtures which, in turn, can be determined from absolute E2 rates connecting the K=0_{2} and ground bands. An explicit expression is derived for these admixtures in terms of the ratio of K=0_{2} and γ bandhead energies. The SU(3) PDS predictions are compared with existing data and with broken-SU(3) calculations for ^{168}Er.

Original language | American English |
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Article number | 061301 |

Pages (from-to) | 613011-613015 |

Number of pages | 5 |

Journal | Physical Review C - Nuclear Physics |

Volume | 60 |

Issue number | 6 |

State | Published - Dec 1999 |