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

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

2006-11-08

arxiv.org/abs/nucl-th/0611024v2

Phys.Lett.B648:176-180,2007

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/j.physletb.2007.03.022

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.

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