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 |
|---|---|
| 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 |