Moments of inertia of nuclei in the rare earth region: A relativistic versus nonrelativistic investigation - art. no. 054306

A parameter-free investigation of the moments of inertia of ground-state ro tational bands in well-deformed rare-earth nuclei is carried out using cran ked relativistic Hartree-Bogoliubov (CRHB) and nonrelativistic cranked Hart ree-Fock-Bogoliubov (CHFB) theories. In CRHB theory, the relativistic field s are determined by the nonlinear Lagrangian with the NL1 force and the pai ring interaction by the central part of a finite-range Gogny D1S force. In CHFB theory, the properties in particle-hole and particle-particle channels are defined solely by Gogny D1S forces. Using an approximate particle numb er projection before variation by means of the Lipkin-Nogami method improve s the agreement with the experimental data, especially in CRHB theory. The effect of the particle number projection on the moments of inertia and pair ing energies is larger in relativistic than in nonrelativistic theory.