Structure Factors of The Unitary Gas Under Supernova Conditions
arXiv:1907.03914 · doi:10.1103/PhysRevC.101.045805
Abstract
We compute with lattice field theory the vector and axial static structure factors of the unitary gas for arbitrary temperature above the superfluid transition and for fugacities 0.1 < z < 1.0. Using the lattice formulation, we calculate beyond the validity of the virial expansion, a commonly used technique in many-body physics. We find qualitative differences in the behavior of the structure factors at high fugacity compared to the predictions of the virial expansion. Due to the large scattering length of neutrons, we expect the unitary gas structure factors to approximate the structure factors of hot neutron gases, and we therefore expect our calculations to be useful in supernova simulations, where neutron gas structure factors are needed to compute in-medium neutrino-neutron scattering rates.
arXiv comment10 pages, 6 figures, 1 table
References in corpus (20)
- Perspectives on Core-Collapse Supernova Theory
- Neutrino-driven explosion of a 20 solar-mass star in three dimensions enabled by strange-quark contributions to neutrino-nucleon scattering
- Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
- Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
- Precise determination of the structure factor and contact in a unitary Fermi gas
- The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
- The Virial Equation of State of Low-Density Neutron Matter
- Momentum Distribution and Contact of the Unitary Fermi gas
- Cooper pairing above the critical temperature in a unitary Fermi gas
- The Neutrino Response of Low-Density Neutron Matter from the Virial Expansion
- Contact and Momentum Distribution of the Unitary Fermi Gas
- High-temperature expansion of the viscosity in interacting quantum gases
- The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
- Pairing correlations across the superfluid phase transition in the unitary Fermi gas
- Spin Polarized Non-Relativistic Fermions in 1+1 Dimensions
- Numerical study of the unitary Fermi gas across the superfluid transition
- Deep inelastic scattering on ultracold gases
- Pair condensation in a Finite Trapped Fermi Gas
- Neutrino-nucleon scattering in the neutrino-sphere
- Neutrino scattering in supernovae and spin correlations of a unitary gas
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- Structure Factors of Neutron Matter at Finite Temperature
- Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
- Lattice Effective Field Theory Simulations of Nuclei
- Uncertainty Quantification for Neutrino Opacities in Core-Collapse Supernovae and Neutron Star Mergers
- Quantum Many-Body Calculations using Body-Centered Cubic Lattices
- Neutrino-Neutron Scattering Opacities in Supernova Matter
- Toward an automated-algebra framework for high orders in the virial expansion of quantum matter