3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction

Abstract

A recently introduced separable pairing force for relativistic Hartree-Bogoliubov (RHB) calculations, adjusted in nuclear matter to the pairing gap of the Gogny force, is employed in the 3D RHB model for triaxial shapes. The pairing force is separable in momentum space but, when transformed to coordinate space in calculations of finite nuclei, it is no longer separable because of translational invariance. The corresponding pairing matrix elements are represented as a sum of a finite number of separable terms in the basis of a 3D harmonic oscillator. The 3D RHB model is applied to the calculation of binding energy surfaces and pairing energy maps for a sequence of even-A Sm isotopes.

26 pages, 6 figures

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• Relativistic Energy Density Functional Description of Shape Transition in Superheavy Nuclei
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• Collective structural evolution in neutron-rich Yb, Hf, W, Os and Pt isotopes
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• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
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