Soft transitional nuclei are considered in a model of a finite superfluid Fermi system in the vicinity of a phase transition. Microscopic estimates are given for the limiting strength of anharmonicity in such a system. The estimates are based on collectivity, adiabaticity and quadrupole symmetry of large amplitude collective motion. The results imply the leading role of quartic anharmonicity and the O(5) dynamical symmetry of low-lying spectra. It justifies the phenomenological model suggested earlier which turned out to be quite successful in description of data.
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V. G. Zelevinsky (1993) studied this question.
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