Critical Points in Nuclei and Interacting Boson Model Intrinsic States

Details Critical Points in Nuclei and Interacting Boson Model Intrinsic States Critical Points in Nuclei and Interacting Boson Model Intrinsic States

2003-05-06

arxiv.org/abs/nucl-th/0305013v1

Physics

Nuclear Physics

Nuclear Theory

10 pages, 3 figures, Proc. Int. Conf. on "Symmetry in Physics", March 23-30, 2003, Erice, Italy

Scientific paper

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 $\gamma$-unstable nuclei. We show that intrinsic states with an effective $\beta$-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.

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