Variational and parquet-diagram calculations for neutron matter. III. S-wave pairing

Abstract

We apply parquet-diagram summation methods for the calculation of the superfluid gap in $S$-wave pairing in neutron matter for realistic nucleon-nucleon interactions such as the Argonne $v_6$ and the Reid $v_6$ potentials. It is shown that diagrammatic contributions that are outside the parquet class play an important role. These are, in variational theories, identified as so-called "commutator contributions". Moreover, using a particle-hole propagator appropriate for a superfluid system results in the suppression of the spin-channel contribution to the induced interaction. Applying these corrections to the pairing interaction, our results agree quite well with Quantum Monte Carlo data.

References in corpus (27)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Strongly paired fermions: Cold atoms and neutron matter
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Collective mode of homogeneous superfluid Fermi gases in the BEC-BCS crossover
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Pairing in high-density neutron matter including short- and long-range correlations
• Pairing in high-density neutron matter including short- and long-range correlations
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Pairing properties of nucleonic matter employing dressed nucleons
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Superfluid Response and the Neutrino Emissivity of Neutron Matter
• Microscopic Study of ${}^1{S}_0$ Superfluidity in Dilute Neutron Matter
• S-pairing in neutron matter. I. Correlated Basis Function Theory
• Three-nucleon forces and superfluidity in neutron matter
• ${}^1{S}_0$ pairing in neutron matter
• Medium polarization effects in 3SD1 spin-triplet pairing
• Polarizability and single particle spectra of two-dimensional s- and d-wave superconductors
• Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction
• Incommensurate Charge and Spin Fluctuations in d-wave Superconductors
• Correlations in the low-density Fermi gas: Fermi-Liquid state, Dimerization, and BCS Pairing
• Variational and Parquet-diagram theory for strongly correlated normal and superfluid systems
• Pairing correlations and effective mass
• Variational and parquet-diagram calculations for neutron matter. I. Structure and Energetics
• Variational and parquet-diagram calculations for neutron matter. II. Twisted Chain Diagrams
• Response functions for the two-dimensional ultracold Fermi gas: dynamical BCS theory and beyond
• The nature of short-ranged correlations in nuclear systems

Cited by in corpus (1)

• Variational and parquet-diagram calculations for neutron matter. IV. Spin-orbit interactions and linear response