Gießen 2007 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 27: Theorie

HK 27.2: Talk

Wednesday, March 14, 2007, 11:30–11:45, C

Dependence of the ¹S₀ superfluid pairing gap on nuclear interactions — •Kai Hebeler¹, Achim Schwenk², and Bengt Friman¹ — ¹GSI, Darmstadt, Germany — ²TRIUMF, Vancouver, Canada

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 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 nucleon-nucleon 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 ¹S₀ superfluidity is small at the BCS level. The charge dependence of nuclear interactions has a 10 % effect on the pairing gap.