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A parameter free investigation of the moments of inertia of ground staterotational bands in well deformed rare-earth nuclei is carried out usingCranked Relativistic Hartree-Bogoliubov (CRHB) and non-relativistic CrankedHartree-Fock-Bogoliubov (CHFB) theories. In CRHB theory, the relativisticfields are determined by the non-linear Lagrangian with the NL1 force and thepairing interaction by the central part of finite range Gogny D1S force. InCHFB theory, the properties in particle-hole and particle-particle channels aredefined solely by Gogny D1S forces. Using an approximate particle numberprojection before variation by means of the Lipkin Nogami method improves theagreement with the experimental data, especially in CRHB theory. The effect ofthe particle number projection on the moments of inertia and pairing energiesis larger in relativistic than in non-relativistic theory.Comment: 18 pages + 2 PostScript figure

Moments of inertia of nuclei in the rare earth region: A relativistic versus nonrelativistic investigation