Phase transitions in the Interacting Boson Fermion Model: the gamma-unstable case

Abstract

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2 particle coupled to an even-even boson core that undergoes a transition from spherical U(5) to gamma-unstable O(6) situation. The particular choice of the j=3/2 orbital preserves in the odd case the condition of gamma-instability of the system. As a consequence, energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviours qualitatively similar to those of the even core. The results are also in qualitative agreement with the recently proposed E(5/4) model, although few differences are present, due to the different nature of the two schemes.

arXiv commentIn press in PRC as rapid communication. 7 pages, 4 figures

References in corpus (2)

• The U(5)-O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry
• The ${\beta }^4$ potential at the U(5)-O(6) critical point of the Interacting Boson Model

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• Quantum phase transitions in Bose-Fermi systems
• Algebraic Solutions for $U^{BF}(5)-O^{BF}(6)$ Quantum Phase Transition in Odd Mass Number Nuclei
• Excited-state quantum phase transitions in a two-fluid Lipkin model
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems