We consider ¹S₀ pairing in infinite neutron matter and nuclear matter and show that in the lowest order approximation, where the pairing interaction is taken to be the bare nucleon-nucleon interaction in the ¹S₀ channel, the pairing interaction and the energy gap can be determined directly from the ¹S₀ phase shifts. This is due to the almost separable character of the nucleon-nucleon interaction in this partial wave. These results put an interaction-independent upper limit on the value of the gap, and on the density where ¹S₀ superfluidity disappears in neutron matter and nuclear matter.
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Elgarøy et al. (1998) studied this question.
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