Spin Response and Neutrino Emissivity of Dense Neutron Matter

Abstract

We study the spin response of cold dense neutron matter in the limit of zero momentum transfer, and show that the frequency dependence of the long-wavelength spin response is well constrained by sum-rules and the asymptotic behavior of the two-particle response at high frequency. The sum-rules are calculated using Auxiliary Field Diffusion Monte Carlo technique and the high frequency two-particle response is calculated for several nucleon-nucleon potentials. At nuclear saturation density, the sum-rules suggest that the strength of the spin response peaks at $\omega \simeq$ 40--60 MeV, decays rapidly for $\omega \ge$100 MeV, and has a sizable strength below 40 MeV. This strength at relatively low energy may lead to enhanced neutrino production rates in dense neutron-rich matter at temperatures of relevance to core-collapse supernova.

arXiv comment11 pages, 4 figures. Minor change. Published version

References in corpus (25)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• Effects of Strong and Electromagnetic Correlations on Neutrino Interactions in Dense Matter
• Supernova Neutrino Opacity from Nucleon-Nucleon Bremsstrahlung and Related Processes
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Neutrino and axion emissivities of neutron stars from nucleon-nucleon scattering data
• Weak capture of protons by protons
• Spin susceptibility of neutron matter at zero temperature
• A Self-Consistent Approach to Neutral-Current Processes in Supernova Cores
• Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly-interacting Fermi Gas
• Classical and quantum many-body description of bremsstrahlung in dense matter (Landau - Pomeranchuk - Migdal effect)
• Short-distance and short-time structure of a unitary Fermi gas
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Neutrino emission from triplet pairing of neutrons in neutron stars
• Chiral effective field theory calculations of neutrino processes in dense matter
• Neutrino emission in neutron stars
• Static response of Fermi liquids with tensor interactions
• Unified approach to structure factors and neutrino processes in nucleon matter
• Weak Interactions in Supernova Cores and Saturation of Nucleon Spin Fluctuations
• Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit
• Neutrino Bremsstrahlung in Neutron Matter from Effective Nuclear Interactions
• Long-wavelength spin- and spin-isospin correlations in nucleon matter
• Photon Dispersion in a Supernova Core
• Spin excitonic and diffusive modes in superfluid Fermi liquids

Cited by in corpus (13)

• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Lepton scattering from ${}^{40}$Ar and ${}^{48}$Ti in the quasielastic peak region
• Dynamic density and spin responses of a superfluid Fermi gas in the BCS-BEC crossover: Path integral formulation and pair fluctuation theory
• Weak response of cold symmetric nuclear matter at three-body cluster level
• Neutral current interactions of low-energy neutrinos in dense neutron matter
• Effect of three-body forces on response functions in infinite neutron matter
• A Survey of Nuclear Pasta in the Intermediate Density Regime: Structure Functions for Neutrino Scattering
• Neutrino-nucleon scattering in the neutrino-sphere
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• Effect of isoscalar spin-triplet pairings on spin-isospin responses in $sd-$ shell nuclei
• Neutrino Pair Emission from Hot Nuclei During Stellar Collapse
• Isoscalar and Isovector spin response in $sd-$ shell nuclei
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction