Neutrino scattering from hydrodynamic modes in hot and dense neutron matter

Abstract

We calculate the scattering rate of low energy neutrinos in hot and dense neutron matter encountered in neutrons stars and supernova in the hydrodynamic regime. We find that the Brillouin peak, associated with the sound mode, and the Rayleigh peak, associated with the thermal diffusion mode, dominate the dynamic structure factor. Although the total scattering cross section is constrained by the compressibility sum rule, the differential cross-section calculated using the hydrodynamic response function differs from results obtained in approximate treatments often used in astrophysics such as random phase approximations (RPA). We identified these differences and discuss its implications for neutrino transport in supernova.

Simplified derivation in formalism

References in corpus (1)

• Dynamic Structure Factor of Normal Fermi Gas from Collisionless to Hydrodynamic Regime

Cited by in corpus (6)

• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• The Photon in Dense Nuclear Matter I: Random Phase Approximation
• Effective interaction approach to the Fermi hard-sphere system
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Effect of chiral nuclear forces on the neutrino mean free path in hot neutron matter
• The hard-sphere model of strongly interacting fermion systems