Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions

Abstract

We study in detail the dependence of the 1S0 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 Lambda > 1.6 fm^{-1}. It is therefore likely that the effect of three-nucleon interactions on 1S0 superfluidity is small at the BCS level. The charge dependence of nuclear interactions has a 10% effect on the pairing gap.

11 pages, 4 figures, minor changes, to appear in Phys. Lett. B

References in corpus (4)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Low-momentum interactions with smooth cutoffs
• Isospin Dependence in the Odd-Even Staggering of Nuclear Binding Energies

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• Superfluid Response and the Neutrino Emissivity of Neutron Matter
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics