6533b823fe1ef96bd127e33b

RESEARCH PRODUCT

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

Peter RingJ. KönigJ. L. EgidoA. V. AfanasjevL. M. Robledo

subject

PhysicsNuclear and High Energy PhysicsNuclear TheoryParticle numberNuclear TheoryRare earthFOS: Physical sciencesMoment of inertiaProjection (linear algebra)Nuclear Theory (nucl-th)symbols.namesakeNonlinear systemClassical mechanicsQuantum electrodynamicsPairingsymbolsNuclear theoryLagrangian

description

A parameter free investigation of the moments of inertia of ground state rotational bands in well deformed rare-earth nuclei is carried out using Cranked Relativistic Hartree-Bogoliubov (CRHB) and non-relativistic Cranked Hartree-Fock-Bogoliubov (CHFB) theories. In CRHB theory, the relativistic fields are determined by the non-linear Lagrangian with the NL1 force and the pairing interaction by the central part of 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 number projection before variation by means of the Lipkin Nogami method improves the agreement with the experimental data, especially in CRHB theory. The effect of the particle number projection on the moments of inertia and pairing energies is larger in relativistic than in non-relativistic theory.

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