## Abstract

We consider properties of critical points in the interacting boson model, corresponding to flat-bottomed potentials as encountered in a second-order phase transition between spherical and deformed γ-unstable nuclei. We show that intrinsic

states with an effective β-deformation reproduce the dynamics of the underlying

non-rigid shapes. The effective deformation can be determined from the the global

minimum of the energy surface after projection onto the appropriate symmetry.

States of fixed N and good O(5) symmetry projected from these intrinsic states

provide good analytic estimates to the exact eigenstates, energies and quadrupole

transition rates at the critical point.

states with an effective β-deformation reproduce the dynamics of the underlying

non-rigid shapes. The effective deformation can be determined from the the global

minimum of the energy surface after projection onto the appropriate symmetry.

States of fixed N and good O(5) symmetry projected from these intrinsic states

provide good analytic estimates to the exact eigenstates, energies and quadrupole

transition rates at the critical point.

Original language | American English |
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Title of host publication | Symmetries In Nuclear Structure |

Subtitle of host publication | An Occasion to Celebrate the 60th Birthday of Francesco Iachello ; Proceedings of the Highly Specialized Seminar Erice, Sicily, Italy 23-30 March 2003 |

Editors | Andrea Vitturi, Richard F. Casten |

Place of Publication | Hackensack |

Publisher | World Scientific |

Pages | 191-200 |

Number of pages | 10 |

ISBN (Print) | 9789812388124, 9812388125 |

State | Published - 2004 |