Critical Points in Nuclei and Interacting Boson Model Intrinsic States

Joseph N Ginocchio, A Leviatan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.
Original languageAmerican English
Title of host publicationSymmetries In Nuclear Structure
Subtitle of host publicationAn Occasion to Celebrate the 60th Birthday of Francesco Iachello ; Proceedings of the Highly Specialized Seminar Erice, Sicily, Italy 23-30 March 2003
EditorsAndrea Vitturi, Richard F. Casten
Place of PublicationHackensack
PublisherWorld Scientific
Number of pages10
ISBN (Print)9789812388124, 9812388125
StatePublished - 2004


Dive into the research topics of 'Critical Points in Nuclei and Interacting Boson Model Intrinsic States'. Together they form a unique fingerprint.

Cite this