Some aspects of the superfluidity in nuclear matter and neutron matter
are numerically investigated by using realistic interactions. It is s
hown that the gap equation with bare pairing interaction contains the
particle-particle correlations corresponding to the ladder diagrams. T
he effects of the short range part of the interaction on the gap funct
ion are discussed in momentum space in connection with the weak coupli
ng approximation. Extending the BCS theory to coupled channels, it is
found that the pairing between neutron and proton in the S-3(1)-3D1 ch
annel is surprisingly large, of the order of about 10 MeV.