Anharmonic double-phonon excitations in the interacting boson model

Details Anharmonic double-phonon excitations in the interacting boson model Anharmonic double-phonon excitations in the interacting boson model

2000-07-13

arxiv.org/abs/nucl-th/0007028v1

Phys.Rev. C62 (2000) 064309

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.62.064309

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.

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