Relativistic Hartree-Bogoliubov description of the lithium isotopes

Here we report the development of the relativistic Hartree-Bogoliubov theory in coordinate space. Pairing correlations are taken into account by both density dependent force of zero range and finite range Gogny force. As a primary application the relativistic HE theory is used to describe the chain of Lithium isotopes reaching from Li-6 to Li-11. In contrast to earlier investigations within a relativistic mean field theory and a density dependent Hartree Fock theory, where the halo in Li-11 could only be reproduced by an artificial shift of the 1p(1/2) level close to the continuum limit, the halo is now reproduced in a self-consistent way without further modifications using the scattering of Cooper pairs to the 2s(1/2) level in the continuum. Excellent agreement with recent experimental data is observed.