Solution of relativistic Hartree-Bogoliubov equations in configurational representation: spherical neutron halo nuclei

Abstract

The scaled harmonic oscillator basis (SHO) is derived by a local scaling-point transformation of the spherical harmonic oscillator radial wave functions. The unitary scaling transformation produces a basis with improved asymptotic properties. The SHO basis is employed in the solution of the relativistic Hartree-Bogoliubov (RHB) equations in configurational space. The model is applied in the self-consistent mean-field approximation to the description of the neutron halo in Ne isotopes. It is shown that an expansion of nucleon spinors and mean-field potentials in the SHO basis reproduces the asymptotic properties of neutron densities calculated by finite element discretization in the coordinate space. In the RHB description of neutron skins and halos, SHO bases in two or three dimensions can be a useful alternative to technically complicated solutions on a mesh in coordinate space.

16 pages, RevTex, 4 p.s. figures, submitted to Phys. Rev. C

References in corpus (6)

• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Reduction of the spin-orbit potential in light drip-line nuclei
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• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Quadrupole deformations of neutron-drip-line nuclei studied within the Skyrme Hartree-Fock-Bogolyubov approach
• Resonant continuum in the Hartree-Fock+BCS approximation
• Continuum effects for the mean-field and pairing properties of weakly bound nuclei
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• Pairing phase transition: A Finite-Temperature Relativistic Hartree-Fock-Bogoliubov study
• Optimized Dirac Woods-Saxon basis for covariant density functional theory
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• The Dirac oscillator: an alternative basis for nuclear structure calculations
• Nuclear structure and decay properties of even-even nuclei in $Z=70-80$ drip-line region
• Models for Pairing Phenomena