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 (23)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Neutron Star Cooling
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• The two-nucleon system at next-to-next-to-next-to-leading order
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Is nuclear matter perturbative with low-momentum interactions?
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Low-momentum interaction in few-nucleon systems
• 3P_2-3F_2 pairing in neutron matter with modern nucleon-nucleon potentials
• Towards a Model-Independent Low Momentum Nucleon-Nucleon Interaction
• Low-momentum interactions with smooth cutoffs
• Local Density Approximation for Systems with Pairing Correlations
• Convergence of the Born Series with Low-Momentum Interactions
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Isospin Dependence in the Odd-Even Staggering of Nuclear Binding Energies
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
• Nuclear pairing from chiral pion-nucleon dynamics

Cited by in corpus (33)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Chiral three-nucleon forces and neutron matter
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Neutrino emission due to Cooper-pair recombination in neutron stars revisited
• Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• Vertex renormalization in weak decays of Cooper pairs and cooling compact stars
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Viscosity of neutron star matter and $r$-modes in rotating pulsars
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Superfluid Response and the Neutrino Emissivity of Neutron Matter
• Partial-wave contributions to pairing in nuclei
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Triplet Pairing in pure neutron matter
• Poloidal Magnetic Fields In Superconducting Neutron Stars
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions
• Microscopic evaluation of the pairing gap
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Neutron pairing with medium polarization beyond the Landau approximation
• Chiral three-nucleon forces and pairing in nuclei
• Superfluid nucleon matter in and out of equilibrium and weak interactions
• Screening and anti-screening of the pairing interaction in low-density neutron matter
• Pairing in pure neutron matter
• From odd-even staggering to the pairing gap in neutron matter
• Renormalization group and Fermi liquid theory for many-nucleon systems
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Superfluid neutron matter with a twist
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group
• Closed-form Brückner $G$-matrix and nuclear matter in EFT($/\pi$)