| Abstrakt: |
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 S U BF (3) ⊗ U s F (2) dynamical symmetry, thanks to the mixing of quadratic and cubic Casimir operators of S U BF (3) . We choose a j = 1 / 2 , 3 / 2 , and 5 / 2 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. [ABSTRACT FROM AUTHOR] |
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