Microscopic theory of nuclear collective rotation

The theory of specific decoupling (SD) leads to an extremum principle from which the optimal body-fixed frame for describing nuclear collective rotation has to be determined. In the first part of this paper it is shown that, for strongly deformed nuclei, the solution of the SD extremum principle can be calculated explicitly, if the intrinsic wavefunction is assumed to be given. The resulting formula for the SD moment of inertia looks similar to the cranking formula. This connection is discussed in detail. The second part deals with the determination of the intrinsic wavefunction by using the results of SD. The corresponding intrinsic Hamiltonian is treated by the HFB approximation which leads to the formulation of the SDHFB method. By comparison with the usual HFB theory the modifications to the resulting equations are given explicitly. (author)