We analyze a mechanism of coupling of high- and low-K bands in terms of a dynamical treatment for nuclear rotations, i.e. , wobbling motion. The wobbling states are produced through the Generator Coordinate Method after Angular Momentum Projection ({ITALIC GCM-after-AMP}), in which the intrinsic states are constructed through fully self-consistent calculations by the 2d-cranked (or tilted-axis-cranked) HFB method. In particular, the phenomena of ``signature inversion'' and ``signature splitting'' in the t-band (tilted rotational band) are explained in terms of the wobbling model. Our calculations will be compared with new data for in-band E2 transition rates in ¹⁸²Os, which may shed light on the mechanism of the anomalous K=25 isomer decay, directly to the yrast band.

PACS numbers: 27.70.+q, 21.10.--k