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Observation of identical bands in superdeformed nuclei with the cranked Hartree-Fock method.

We describe identical, or twinned bands, within the cranked Hartree-Fock model, with a Skyrme effective interaction. We show that the filling of specific orbitals can lead to bands with deexcitation {gamma}-ray energies differing by at most 2 keV in nuclei differing by two mass units and over a range of angular momenta comparable to the experimental one. We show also that the continuous change of the mean field with angular momentum is a key ingredient for twinning.