Phenomenological construction of a relativistic nucleon-nucleon interaction for the superfluid gap equation in finite density systems

We construct phenomenologically a relativistic particle-particle channel interaction which suits the gap equation for nuclear matter. This is done by introducing a density-independent momentum-cutoff parameter to the relativistic mean field (Hartree and Hartree-Fock) models so as to reproduce the pairing properties obtained by the Bonn-B potential and not to change the saturation property. The interaction so obtained can be used for the relativistic Hartree-Bogoliubov calculation, but some reservation is necessary for the relativistic Hartree-Fock-Bogoliubov calculation