Wobbling Motion in the multi-bands crossing region: dynamical coupling mode between high- and low-K states

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 ({\it 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 ${}^{182}$Os, which may shed light on the mechanism of the anomalous K=25 isomer decay, directly to the yrast band.