Microscopic theory of nuclear collective rotation. I. General description of rotations

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Basic to an approach to the problem of collective rotations is the definition of an optimal body-fixed frame. By a clear and elegant method for the transformation to collective and internal coordinates the authors show how the Hamiltonian depends on the definition of this frame. These results are used to obtain the best possible decoupling of internal motion and collective rotation, the so called specific decoupling. The corresponding equations are obtained by perturbation treatment in terms of the total angular momentum. This is shown to be equivalent to an extremum principle where the definition of the internal frame is varied. The extremum principle proves to be more powerful than the perturbational method so that the concept can be applied to deformed nuclei with realistic interactions and also to higher spins. This will be reported in the following papers.