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

TL;DR

This paper develops a 3D relativistic Hartree-Bogoliubov model incorporating a separable pairing interaction, enabling detailed calculations of nuclear properties in triaxial shapes with improved computational efficiency.

Contribution

It introduces a novel implementation of a separable pairing force in a 3D RHB model for triaxial nuclei, extending previous approaches to finite nuclei with non-separable pairing in coordinate space.

Findings

Calculated binding energy surfaces for Sm isotopes.

Mapped pairing energy distributions across nuclear shapes.

Demonstrated the model's effectiveness in describing triaxial nuclear properties.

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.