The anharmonicity of octupole vibrations is deduced over a wide range of Z and A through the examination of summed B(E3) 1' values for all 3 states in a given nuclide versus the centroid energy for those states. Data obtained with the (p, p'), (d, d'), and (nn') , reactions are used, as opposed to an earlier study based on Coulomb excitation and lifetime data. Results of the new analysis support earlier observations of significant anharmonicity, but leave open the possibility of greater harmonicity than was previously supposed. Fits to the experimental data are discussed within the framework of the hydrodynamical model and possible mechanisms for the observed behavior are suggested. PACS number(s): 21.10.Re, 23.20.Js, 21.60.Ev
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