A systematic investigation of the nuclear observables related to the triaxial degree of freedom is presented using the multiquasiparticle triaxial projected shell model (TPSM) approach.These properties correspond to the observation of γ-bands, chiral doublet bands and the wobbling mode. In the TPSM approach, γ-bands are built on each quasiparticle configuration and it is demonstrated that some observations in high-spin spectroscopy that have remained unresolved for quite some time could be explained by considering γ-bands based on two-quasiparticle configurations. It is shown in some Ce-, Nd-and Ge-isotopes that the two observed aligned or s-bands originate from the same intrinsic configuration with one of them as the γ-band based on a two-quasiparticle configuration. In the present work, we have also performed a detailed study of γ-bands observed up to the highest spin in Dysposium, Hafnium, Mercury and Uranium isotopes. Furthermore, several measurements related to chiral symmetry breaking and wobbling motion have been reported recently. These phenomena, which are possible only for triaxial nuclei, have been investigated using the TPSM approach. It is shown that doublet bands observed in lighter odd-odd Cs-isotopes can be considered as candidates for chiral symmetry breaking. Transverse wobbling motion recently observed in 135 Pr has also been investigated and it is shown that TPSM approach provides a reasonable description of the measured properties.
The band structures of 68,70 Ge, 128,130,132,134 Ce and 132,134,136,138 Nd are investigated using the triaxial projected shell model (TPSM) approach. These nuclei depict forking of the ground-state band into several s-bands and in some cases, both the lowest two observed s-bands depict neutron or proton character. It was discussed in our earlier work that this anamoluos behaviour can be explained by considering γ-bands based on two-quasiparticle configurations. As the parent band and the γ-band built on it have the same intrinsic structure, g-factors of the two bands are expected to be similar. In the present work, we have undertaken a detailed investigation of g-factors for the excited band structures of the studied nuclei and the available data for a few high-spin states are shown to be in fair agreement with the predicted values.
Excited band structures recently observed in 156 Dy are investigated using the microscopic triaxial projected shell model (TPSM) approach and the quasiparticle random phase approximation (QRPA) based on the rotating mean-field. It is demonstrated that new observed excited bands, tracking the ground-state band, are the γ-bands based on the excited two-quasineutron configurations as conjuctured in the experimental work.
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