Abstract

We base a systematic treatment of rapidly rotating systems having well-established triaxial deformations on the BRST treatment of collective coordinates. Within this framework we show that it is possible to derive and discuss different cranked-minimization procedures. The wobbling motion appears naturally at the same level as the RPA oscillations. Rules are derived for the calculation of the three moments of intertia. It is also shown how the calculations can be carried on to include anharmonicities, vibration-vibration and wobbling-vibration interactions without problems of zero modes. The spurious and physical states are clearly identified and shown to separate at each level of approximation thanks to the algebraic structure associated with the BRST supersymmetry. Concepts such as rotating frame, angular velocity, intrinsic system and collective coordinates have a full quantum-mechanical interpretation.

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