Wobbling motion in ${}^{165,167}$Lu within a semi-classical framework

Abstract

The results obtained for ${}^{165,167}$Lu with a semi-classical formalism are presented. Properties like excitation energies for the super-deformed bands TSD1, TSD2, TSD3, in ${}^{165}$Lu, and TSD1 and TSD2 for ${}^{167}$Lu, inter- and intra-band B(E2) and B(M1), the mixing ratios, transition quadrupole moments are compared either with the corresponding experimental data or with those obtained for ${}^{163}$Lu. Also alignments, dynamic moments of inertia, relative energy to a reference energy of a rigid symmetric rotor with an effective moment of inertia and the angle between the angular momenta of the core and odd nucleon were quantitatively studied. One concludes that the semi-classical formalism provides a realistic description of all known wobbling features in ${}^{165,167}$Lu.

arXiv comment29 pages, 14 figures

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Cited by in corpus (5)

• A new approach for the wobbling motion in the even-odd isotopes ${}^{161,163,165,167}$Lu
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• 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