SOLUTION OF RELATIVISTIC HARTREE-BOGOLIUBOV EQUATIONS IN CONFIGURATIONAL REPRESENTATION - SPHERICAL NEUTRON HALO NUCLEI

The transformed harmonic oscillator basis (THO) is derived by a local scaling-point transformation of the spherical harmonic-oscillator radi al 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 co nfigurational space. The model is applied in the self-consistent mean- field approximation to the description of the neutron halo in Ne isoto pes. It is shown that an expansion of nucleon spinors and mean-field p otentials in the THO basis reproduces the asymptotic properties of neu tron densities calculated by finite element discretization in the coor dinate space. In the RHB description of neutron skins and halos, THO b ases in two or three dimensions can be a useful alternative to technic ally complicated solutions on a mesh in coordinate space. [S0556-2813( 98)03310-X].