Conclusions

We have developed a new theoretical tool allowing for the angular-momentum projection of cranked symmetry-unrestricted Slater determinants. In the present work, we presented preliminary applications pertaining to rotational bands in a well-deformed nucleus $^{156}$Gd. We showed that energies projected from non-rotating and rotating states are significantly different and similar, respectively, when compared to the cranking mean-field energies. We also showed that, due to vanishing overlaps between rotated states, transition energy kernels may have uncompensated poles in function of the Euler angles.