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Critical Points in Nuclei and Interacting Boson Model Intrinsic States

Joseph N. Ginocchio·A. Leviatan
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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.

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Joseph N. Ginocchio, A. Leviatan. 2003-05-06. Critical Points in Nuclei and Interacting Boson Model Intrinsic States. https://doi.org/10.1142/9789812702760_0022

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