RELATIVISTIC HARTREE-BOGOLIUBOV THEORY WITH FINITE-RANGE PAIRING FORCES IN COORDINATE SPACE - NEUTRON HALO IN LIGHT-NUCLEI

The relativistic Hartree Bogoliubov model is applied in the self-consi stent mean-field approximation to the description of the neutron halo in the mass region above the s-d shell. Pairing correlations and the c oupling to particle continuum states are described by finite range two -body forces. Finite element methods are used in the coordinate space discretization of the coupled system of Dirac-Hartree-Bogoliubov integ ro-differential eigenvalue equations, and Klein-Gordon equations for t he meson fields. Calculations are performed for the isotopic chains of Ne and C nuclei. We find evidence for the occurrence of neutron halo in heavier Ne isotopes. The properties of the 1f-2p orbitals near the Fermi level and the neutron pairing interaction play a crucial role in the formation of the halo. Our calculations display no evidence for t he neutron halo phenomenon in C isotopes.