Pairing in low-density Fermi gases

Abstract

We consider pairing in a dilute system of Fermions with a short-range interaction. While the theory is ill-defined for a contact interaction, the BCS equations can be solved in the leading order of low-energy effective field theory. The integrals are evaluated with the dimensional regularization technique, giving analytic formulas relating the pairing gap, the density, and the energy density to the two-particle scattering length.

12 pages, 2 EPS-figures, uses psfig.sty, eq.(9) corrected

References in corpus (5)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Nucleon-Nucleon Phase Shifts and Pairing in Neutron Matter and Nuclear Matter
• ^1S_0 pairing correlations in relativistic nuclear matter and the two-nucleon virtual state

Cited by in corpus (69)

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• Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
• Spatial structure of neutron Cooper pair in low density uniform matter
• Phase diagram of a cold polarized Fermi gas
• Comparing and contrasting nuclei and cold atomic gases
• Effective Field Theory for Dilute Fermi Systems
• Cold asymmetrical fermion superfluids
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Signatures of resonance superfluidity in a quantum Fermi gas
• BCS-to-BEC crossover from the exact BCS solution
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Local Density Approximation for Systems with Pairing Correlations
• Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment
• Energy Density Functional Approach to Superfluid Nuclei
• Effective-Range Dependence of Resonantly Interacting Fermions
• Many Body Methods and Effective Field Theory
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
• Pairing renormalization and regularization within the local density approximation
• Triplet Pairing in Neutron Matter
• Momentum distribution of a trapped Fermi gas with large scattering length
• BCS-BEC crossover with a finite-range interaction
• Pair condensation and bound states in fermionic systems
• Effective theory for deformed nuclei
• Effective Field Theory and Finite Density Systems
• Non-perturbative predictions for cold atom Bose gases with tunable interactions
• Effective Field Theory for Dilute Fermions with Pairing
• Effective Field Theory for Fermi Systems in a large N expansion
• The BCS Critical Temperature for Potentials with Negative Scattering Length
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Auxiliary field approach to dilute Bose gases with tunable interactions
• Eft for DFT
• Perturbative Effective Field Theory at Finite Density
• BCS-BEC Crossover in Atomic Fermi Gases with a Narrow Resonance
• Auxiliary field formalism for dilute fermionic atom gases with tunable interactions
• Dineutron correlations in quasi two-dimensional systems in a simplified model and possible relation to neutron-rich nuclei
• Normal-Superfluid Interface for Polarized Fermion Gases
• Neural Wave Functions for Superfluids
• Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
• Density-functional theory for the pairing Hamiltonian
• Three-dimensional Skyrme Hartree-Fock-Bogoliubov solver in coordinate-space representation
• Self-consistency and collective effects in semiclassical pairing theory
• Analytical limits for cold atom Bose gases with tunable interactions
• Pairing in Nuclei
• Superfluid to insulator phase transition in a unitary Fermi gas
• Exact renormalisation group flow for ultracold Fermi gases in unitary limit
• Spatial structure of the pair wavefunction and the density correlation functions at the BEC-BCS crossover
• A Relativistic Separable Potential to Describe Pairing in Nuclear Matter
• Asymmetric Fermion Superfluid with Inter- and Intra-Species Pairings
• Renormalization of pionless effective field theory in the A-body sector
• Heat capacity of a two-component superfluid Fermi gas
• Probing effective nucleon-nucleon interaction at band termination
• Effective Theories of Dense and Very Dense Matter
• Phenomenological construction of a relativistic nucleon-nucleon interaction for the superfluid gap equation in finite density systems
• Dynamical mean-field approximation for unitary Fermi gas
• Dependence of interface conductivity on relevant physical parameters in polarized Fermi mixtures
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Superfluidity within Exact Renormalisation Group approach
• Toward precision Fermi liquid theory in two dimensions
• Closed-form Brückner $G$-matrix and nuclear matter in EFT($/\pi$)
• Two-band atomic superfluidity in the presence of an orbital Feshbach resonance
• Local energy density functional for superfluid Fermi gases from effective field theory
• Regime of Validity of the Pairing Hamiltonian in the Study of Fermi Gases
• Acoustic attenuation rate in the Fermi-Bose model with a finite-range fermion-fermion interaction