Semiclassical unified description of wobbling motion in even-even and even-odd nuclei

Abstract

A unitary description for wobbling motion in even-even and even-odd nuclei is presented. In both cases compact formulas for wobbling frequencies are derived. The accuracy of the harmonic approximation is studied for the yrast as well as for the excited bands in the even-even case. Important results for the structure of the wave function and its behavior inside the two wells of the potential energy function corresponding to the Bargmann representation are pointed out. Applications to ${}^{158}$Er and ${}^{163}$Lu reveal a very good agreement with available data. Indeed, the yrast energy levels in the even-even case and the first four triaxial super-deformed bands, TSD1,TSD2,TSD3 and TSD4, are realistically described. Also, the results agree with the data for the E2 and M1 intra- as well as inter-band transitions. Perspectives for the formalism development and an extensive application to several nuclei from various regions of the nuclides chart are presented.

47 pages, 25 figures

References in corpus (3)

• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Solvable models for the gamma deformation having X(5) as limiting symmetry. Removing some drawbacks of the existent descriptions
• A solvable model which has X(5) as a limiting symmetry and removes some inherent drawbacks

Cited by in corpus (4)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• A new approach for the wobbling motion in the even-odd isotopes ${}^{161,163,165,167}$Lu
• Towards a new semi-classical interpretation of the wobbling motion in ${}^{163}$Lu