Continuum HFB calculations with finite range pairing interactions

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree–Fock–Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing field is constructed with a Gogny force. An iterative scheme is used for solving the integro-differential HFB equations via the introduction of a local equivalent potential. The method is illustrated on the case of the nucleus 18C. It is shown that the results are insensitive to the cut off value in the quasiparticle spectrum if this value is above 100 MeV.