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The U(5)–O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry

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TABLE I. Excitation energies for a β 4 potential relative to the energy of the first excited state.
FIG. 1. Representation of the energy surfaces for N = 20 as functions of the shape parameter β obtained for two schematic hamiltonians, Eq
FIG. 2. Schematic spectrum for a β 4 potential. Numbers close to the arrows are B(E2) values.
FIG. 3. Variation with the number of bosons (up to N = 20) of selected energy and B(E2) ratios for IBM calculations performed at the critical points of hamiltonian (16) (full line) and (18) (dashed line)
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