Abstract
Recently, a method for the identification of multiphonon states in vibrational nuclei was successfully developed. A survey was performed and it was found, surprisingly, that the energies of the first 2 + states are systematically low by about 15% with respect to the values expected from the global nuclear properties. This appears to be in contradiction with the general belief that these states have a high purity. It can be questioned whether such results are not simply an artefact due to the weights used in the fits. One way to answer this question is to compare the experimental results with the predictions of the Brink model. To this end, the equations for four and five phonons were explicitly calculated. It will be shown that the predictions are quite good, provided the one phonon energy be renormalized, i.e. increased by about 15%. Since the uodified Brink method involves only the use of a “virtual” 2 1 + energy and no level fit, a problem of weights cannot be invoked. Possible explanations of the anomaly are examined.
Published Version
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