Collective nuclear model at high angular momenta (general formulation)

Collective nuclear model in connection with a symmetry of rotating nuclei is considered. It is shown that the states with large angular momenta in the vicinity of the yrast line may be classified by an asymptotic quantum number (signature) giving the phase which the intrinsic wave-function acquires when the body-fixed frame is rotated through the angle π around the axis of maximal inertia. The asymptotic expressions for the matrix elements of E(lambda) operators are given. The pattern of spectrum at large angular momenta is discussed