Abstract
Abstract We study in detail the dependence of the 1 S 0 superfluid pairing gap on nuclear interactions and on charge-independence breaking at the BCS level. Starting from chiral effective-field theory and conventional nucleon–nucleon (NN) interactions, we use the renormalization group to generate low-momentum interactions V low k with sharp and smooth regulators. The resulting BCS gaps are well constrained by the NN scattering phase shifts, and the cutoff dependence is very weak for sharp or sufficiently narrow smooth regulators with cutoffs Λ > 1.6 fm −1 . It is therefore likely that the effect of three-nucleon interactions on 1 S 0 superfluidity is small at the BCS level. The charge dependence of nuclear interactions has a 10% effect on the pairing gap.
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