Anharmonic double-phonon excitations in the interacting boson model

Abstract

Double-$\gamma$ vibrations in deformed nuclei are analyzed in the context of the interacting boson model. A simple extension of the original version of the model towards higher-order interactions is required to explain the observed anharmonicities of nuclear vibrations. The influence of three- and four-body interactions on the moments of inertia of ground- and $\gamma$-bands, and on the relative position of single-$\gamma$ and double-$\gamma$ bands is studied in detail. As an example of a realistic calculation, spectra and transitions of the highly $\gamma$-anharmonic nuclei ${}^{164}$Dy, ${}^{166}$Er, and ${}^{168}$Er are interpreted in this approach.

38 pages, TeX (ReVTeX). 15 ps figures. Submitted to Phys. Rev. C

References in corpus (2)

• Anharmonic double-$\gamma$ vibrations in nuclei and their description in the interacting boson model
• Intrinsic structure of two-phonon states in the interacting boson model

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