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

Stoitsov, M. and Ring, Peter and Vretenar, Dario and Lalazissis, G. A. (1998) Solution of relativistic Hartree-Bogoliubov equations in configurational representation: Spherical neutron halo nuclei. Physical Review C, 58 (4). pp. 2086-2091. ISSN 0556-2813

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Abstract

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.

Item Type: Article
Keywords: Hartree-Bogoliubov equations, mean-field approximation, neutron halo
Date: October 1998
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (1998) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119211
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 14 May 2014 16:29
Last Modified: 14 May 2014 16:29
URI: http://digre.pmf.unizg.hr/id/eprint/1311

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