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The European Physical Journal Plus

Prolate–oblate quantum phase transition in odd nuclei for $$j = 1/2, 3/2$$ and 5/2 orbits within the $$SU^{BF}(3)$$ limit of the IBFM

Z. Ranjbar, L. Fortunato, Nader Ghahramany

Published Oct 21, 2022• 0 citations
Publisher
DOI
10.1140/epjp/s13360-022-03328-9

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Prolate–oblate quantum phase transition in odd nuclei for j=1/2,3/2j = 1/2, 3/2j=1/2,3/2 and 5/2 orbits within the SUBF(3)SU^{BF}(3)SUBF(3) limit of the IBFM
Quantum shape-phase transitions in odd-nuclei are investigated within the framework of the interacting boson-fermion model (IBFM). We consider the case of a single-j fermion coupled to an even-even boson core that performs a transition from spherical to oblate shapes varying a control parameter in the boson Hamiltonian. The aim of this work is to see the effect of the coupling of the unpaired fermion on the transition, to understand how the coupled single particle modifies the geometric shape of the system and how each of the odd states behaves when the boson core shifts along the transitional path.