Nuclear Rotation and Mechanism of Excitational mode associated with the motion.

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In order to analyze an abnormal behavior of spectrum observed in high K band like K = 8^+ in^<182>Os, we study the exication mechanism associated with the rotational motion, using theory of wobbling motion, proposed by the head investigator of this project. It may be pointed out as an abnormal feature of the band that, since the spin of the band head is equal to 8, the even spin states are favored states in contraction to the observed data. In a little higher spin states than those in the back bending region, the signature inversion, in which the favored spin states are high in energy, is certainly recognized. In other words the signature inversion takes place at just the band crossing point. From these fact it is suggested that, the s-band strongly interacts with the high-K band. Consequently, the physical feature of 3-band crossing is most reasonable interpretation of the phenomena.We considered that the theory of wobbling motion is most suitable approach to analyze the phenomena mentioned above. The generator coordinate method is applied to studied the wobbling motion in which the tilt angle is employed as a generator coordinate. Hill-Wheeler equation using angular unprojected wave function, is not properly solved because of instability. The intrinsic wave function is projected out onto a definite angular momentum state. Solution of the equation is much stabilized through the angular momentum projection. We obtained rather reasonable results which are compared with the experimental spectra.