Abstract
Exact solutions of the Bohr Hamiltonian with a five-dimensional square well potential, in isolation or coupled to a fermion by the five-dimensional spin–orbit interaction, are considered as examples of a new class of dynamical symmetry or Bose–Fermi dynamical symmetry. The solutions provide baselines for experimental studies of even–even [ E ( 5 ) ] and odd-mass [ E ( 5 | 4 ) ] nuclei near the critical point of the spherical to deformed γ-unstable phase transition.
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