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

D. Vretenar; P. Ring; T. Niksic; Y. Tian; Z.Y. Ma

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

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arxiv 0912.1331 v1 pith:N7URF7NA submitted 2009-12-07 nucl-th

T. Niksic , D. Vretenar , Y. Tian , Z.Y. Ma , P. Ring This is my paper

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keywords pairingseparableforcemodelcalculationsenergyfinitehartree-bogoliubov

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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.

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