Abstract
The method of description of the high-spin states, which was previously developed and applied for the states of this type in [Formula: see text]Pb, is generalized for the case of the states having more complex multiphonon structure. In this method, the harmonic approximation with the renormalized phonons is used in which the phonons themselves are determined within the nonlinear version of the model based on the random-phase approximation (RPA) and including both the RPA correlations and the beyond-RPA ones. The mean field and the residual interaction are derived within the framework of the self-consistent RPA from the energy-density functional of the Skyrme type. The method is applied for the analysis of the available experimental data in doubly magic [Formula: see text]Pb and [Formula: see text]Ca and in semi-magic [Formula: see text]Zr.
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