Abstract
Arguments are given that the main nonlinear features of low-lying quadrupole excitations of even-even soft spherical nuclei are due to the quartic phonon interaction and to the coherent rotational response of noncollective degrees of freedom. The corresponding hamiltonian is solved by group theory methods; the results give a good description of energy spectra as well as of transition probabilities, the number of fitted parameters being less than that of the IBA. Some regularities are found going through the periodical table.
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