Relativistic Hartree-Bogoliubov Description of the Neutron Halo in11Li

Relativistic Hartree-Bogoliubov theory in coordinate space is used to describe the chain of lithium isotopes reaching from ${}^6$Li to ${}^{11}$Li. Pairing correlations are taken into account by a density dependent force of zero range. In contrast to earlier investigations within a relativistic mean field theory and a density dependent Hartree-Fock theory, where the halo in ${}^{11}$Li 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.