Abstract. A practical procedure for restoration of the rotational symmetry of an arbitrary deformed intrinsic Slater determinant is developed in order to test the previous suggestion [3] that the state of minimal dispersion might be a better candidate for projecting out the components of good symmetry, rather than the one of minimal energy. Its application to the case of ²⁸Si in the 1s-0d single particle basis using a modified Wildenthal force does not confirm the above suggestion. The results indicate the importance of releasing the axial symmetry requirement for the intrinsic state.

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