Shape phase mixing in critical point nuclei

Abstract

Spectral properties of nuclei near the critical point of the quantum phase transition between spherical and axially symmetric shapes are studied in a hybrid collective model which combines the $\gamma$-stable and $\gamma$-rigid collective conditions through a rigidity parameter. The model in the lower and upper limits of the rigidity parameter recovers the X(5) and X(3) solutions respectively, while in the equally mixed case it corresponds to the X(4) critical point symmetry. Numerical applications of the model on nuclei from regions known for critical behavior reveal a sizable shape phase mixing and its evolution with neutron or proton numbers. The model also enables a better description of energy spectra and electromagnetic transitions for these nuclei.

12 pages, 5 figures, 3 tables

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Cited by in corpus (3)

• Shape coexistence in even-even nuclei: A theoretical overview
• Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method
• Third-order particle-hole ring diagrams with contact-interactions and one-pion exchange