Semi-classical and anharmonic quantum models of nuclear wobbling motion

Abstract

A semi-classical model for wobbling motion is presented as an extension to the Bohr-Mottelson model of wobbling motion. Using the resultant wobbling potential, a quantum mechanical equation is derived for anharmonic wobbling motion. We then attempt to explain the anharmonicity observed in the excited bands of two wobbling phonons in the A=160 region.

arXiv comment5 pages, 2 figures, accepted in Phys. Lett. B

References in corpus (3)

• Wobbling Motion in Atomic Nuclei with Positive-Gamma Shapes
• Instability of nuclear wobbling motion and tilted axis rotation
• Wobbling motion in the multi-bands crossing region

Cited by in corpus (9)

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• Collective Hamiltonian for wobbling modes
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• Wobbling geometry in simple triaxial rotor
• Wobbling motion in ${}^{165,167}$Lu within a semi-classical framework
• A new boson approach for the wobbling motion in even-odd nuclei
• Towards a new semi-classical interpretation of the wobbling motion in ${}^{163}$Lu
• New results about the canonical transformation for boson operators