The ${}^1$S${}_0$ pairing gap in neutron matter

Abstract

We report ab initio calculations of the S wave pairing gap in neutron matter calculated using realistic nuclear Hamiltonians that include two- and three-body interactions. We use a trial state, properly optimized to capture the essential pairing correlations, from which we extract ground state properties by means of auxiliary field diffusion Monte Carlo simulations. We extrapolate our results to the thermodynamic limit by studying the finite-size effects in the symmetry-restored projected Bardeen-Cooper-Schrieffer (PBCS) theory and compare our results to other ab initio studies done in the past. Our quantum Monte Carlo results for the pairing gap show a modest suppression with respect to the mean-field BCS values. These results can be connected to cold atom experiments, via the unitarity regime where fermionic superfluidity assumes a unified description, and they are important in the prediction of thermal properties and the cooling of neutron stars.

arXiv comment14 pages, 7 figures; v2 corresponds to published version

References in corpus (41)

• Neutron Star Cooling
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• The Equation of State of Hot, Dense Matter and Neutron Stars
• Minimal Cooling of Neutron Stars: A New Paradigm
• Superfluid Fermi Gases with Large Scattering Length
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• Evolution of Nuclear Spectra with Nuclear Forces
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Low-density neutron matter
• Strongly paired fermions: Cold atoms and neutron matter
• Phase separation in a polarized Fermi gas at zero temperature
• Neutron Matter from Low to High Density
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
• Resonantly Interacting Fermions In a Box
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
• Pairing in high-density neutron matter including short- and long-range correlations
• Pairing in high-density neutron matter including short- and long-range correlations
• Superfluid Density of Neutrons in the Inner Crust of Neutron Stars: New Life for Pulsar Glitch Models
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Entrainment in Superfluid Neutron Star Crusts: Hydrodynamic Description and Microscopic Origin
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Strong-coupling corrections to ground-state properties of a superfluid Fermi gas
• S-pairing in neutron matter. I. Correlated Basis Function Theory
• Microscopic Study of ${}^1{S}_0$ Superfluidity in Dilute Neutron Matter
• Pairing in pure neutron matter
• From odd-even staggering to the pairing gap in neutron matter
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Superfluid neutron matter with a twist
• Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations
• An analysis of variational wave function for the pairing problem in strongly correlated system

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• Bayesian inference of neutron star crust properties using an ab initio-benchmarked meta-model
• Spin-Triplet Pairing in Heavy Nuclei is Stable Against Deformation
• Triplet-odd pairing in finite nuclear systems: Even-even singly closed nuclei
• Gapless neutron superfluidity in the crust of the accreting neutron stars KS 1731-260 and MXB 1659-29
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
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