Rotating Dirac mean-field and particle-number projection calculations for superdeformed nuclei

m this contribution we first recall briefly the basic formulae related to t he Dirac mean-field used in conjunction with the Bogolyubov formalism and p article-number projection. We present some results obtained for calculation s of the moments of inertia for Super Deformed (SD) bands in the A similar to 150 mass-region, and compare them to the experimental ones. It is shown that this formalism is able to get rid of one of the drawbacks observed in standard Woods-Saxon or Hartree-Fock mean-field calculations, namely the sy stematic overestimation of the calculated moments of inertia.