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.

11 pages, 4 figures. Minor change. Published version

References in corpus (4)

• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Chiral effective field theory calculations of neutrino processes in dense matter
• Unified approach to structure factors and neutrino processes in nucleon matter

Cited by in corpus (4)

• Effect of three-body forces on response functions in infinite neutron matter
• Effect of isoscalar spin-triplet pairings on spin-isospin responses in $sd-$ shell nuclei
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction