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

Scientific paper - Original scientific paper

• Author: M. Stoitsov
• Author: Peter Ring
• Author: Dario Vretenar
• Author: G. A. Lalazissis
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

The transformed harmonic oscillator basis (THO) 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 THO 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 THO 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, THO bases in two or three dimensions can be a useful alternative to technically complicated solutions on a mesh in coordinate space.

• Keywords (english): Hartree-Bogoliubov equations, mean-field approximation, neutron halo
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review C - Nuclear Physics
• Numbering: vol. 58, no. 4, pp. 2086-2091
• p-ISSN: 0556-2813
• e-ISSN: 1089-490X
• DOI: https://doi.org/10.1103/PhysRevC.58.2086
• URN:NBN: urn:nbn:hr:217:671665
• Publication: 1998
• Document URL: http://link.aps.org/doi/10.1103/PhysRevC.58.2086
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (1998) by the American Physical Society.
• Created on: 2019-10-06 20:24:44