Prolate–oblate quantum phase transition in odd nuclei for and 5/2 orbits within the limit of the IBFM
Department of Physics, Shiraz University, 71946, Shiraz, Iran
2 Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, 35131, Padova, Italy
3 INFN-Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy
Accepted: 25 September 2022
Published online: 21 October 2022
We study an exactly solvable algebraic Hamiltonian for odd systems that allows to span the whole range between prolate and oblate spectra, while maintaining the dynamical symmetry, thanks to the mixing of quadratic and cubic Casimir operators of . We choose a fermionic basis that is coupled to coherent states for the boson part. With this, we diagonalize the Boson–Fermion Hamiltonian obtaining potential energy surfaces for each component. We find a very rich variety of behaviours: the various orbitals do not display the same shape, some are prolate, while others are oblate, and they make the transition following different paths.
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