Abstract
The 1S 0 superfluidity of neutron matter and nuclear matter is studied by solving the gap equation exactly for two realistic nuclear potentials, namely the Paris and the Argonne v 14 potential. For neutron matter, the predicted domain of superfluidity is very close to previous results, whereas differences appear in the predicted value of the maximum gap. The results are, however, very close to each other for the two potentials mentioned above. The role of the large momentum component is underlined and the accuracy of several approximations is discussed. The temperature dependence is exhibited. For nuclear matter, the superfluidity disappears at smaller density. The gap is rather small for equilibrium density. The condensation energy estimated through a local-density approximation is dominated by the surface contribution. The definition of the pairing interaction is discussed and an illustrative calculation for an effective interaction is presented.
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