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

2006/11/30 by K. Hebeler, A. Schwenk, Bengt Friman +1
Physics and Astronomy · #BCS theory #Charge (physics) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Cutoff #Effective field theory #Mean field theory #Momentum (technical analysis) #Nuclear physics research studies #Pairing #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Renormalization group #Superconductivity #Superfluidity #astro-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1016/j.physletb.2007.03.022

published as Phys.Lett.B648:176-180,2007 · 11 pages, 4 figures, minor changes, to appear in Phys. Lett. B

arxiv created 2007/03/05 · openalex publication_date 2007/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Vlow 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.

Citations