Renormalized relativistic Hartree-Bogoliubov equations with a zero-range pairing interaction

Abstract

A recently introduced scheme for the renormalization of the Hartree-Fock-Bogoliubov equations in the case of zero-range pairing interaction is extended to the relativistic Hartree-Bogoliubov model. A density-dependent strength parameter of the zero-range pairing is adjusted in such a way that the renormalization procedure reproduces the empirical ${}^1{S}_0$ pairing gap in isospin-symmetric nuclear matter. The model is applied to the calculation of ground-state pairing properties of finite spherical nuclei.

13 pages, 8 figures, accepted for publication in Physical Review C

References in corpus (6)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
• Local Density Approximation for Systems with Pairing Correlations
• Energy Density Functional Approach to Superfluid Nuclei
• Spatial structure of a vortex in low density neutron matter

Cited by in corpus (4)

• 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
• Pairing renormalization and regularization within the local density approximation
• Large-Scale Self-Consistent Nuclear Mass Calculations
• Finite-range pairing in nuclear density functional theory