Microscopic investigation of wobbling motion in atomic nuclei using the triaxial projected shell model approach
Abstract
A systematic investigation of the wobbling band structures observed in odd-mass nuclei of 161,163,165,167Lu, 167Ta 131Cs, 135Pr, 151Eu, 183Au, 133Ba, 105Pd, 133La, 187Au and 127Xe is performed using the triaxial projected shell model (TPSM) approach. It is demonstrated that all the studied band structures have transverse wobbling mode, except for 133La, 187Au (negative parity), 183Au (positive parity) and 127Xe nuclei where the wobbling frequency increases with spin, indicating that the collective motion has a longitudinal character. To elucidate further the wobbling nature of the band structures, electromagnetic transition probabilities have been evaluated and it is observed that inter-band transitions are dominated by E2 rather than M1 as expected for a typical signature partner band. It is shown that TPSM approach provides a reasonable description of all the measured properties of the studied nuclei.
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