%0 Journal Article
%T Unified approach to structure factors and neutrino processes in nucleon matter
%A Lykasov
%A G. I.
%A Pethick
%A C. J.
%A Schwenk
%A A.
%J High Energy Physics - Phenomenology
%D 2008
%I 
%R 10.1103/PhysRevC.78.045803
%X We present a unified approach to neutrino processes in nucleon matter based on Landau's theory of Fermi liquids that includes one- and two-quasiparticle-quasihole pair states as well as mean-field effects. We show how rates of neutrino processes involving two nucleons may be calculated in terms of the collision integral in the Landau transport equation for quasiparticles. Using a relaxation time approximation, we solve the transport equation for density and spin-density fluctuations and derive a general form for the response functions. We apply our approach to neutral-current processes in neutron matter, where the spin response function is crucial for calculations of neutrino elastic and inelastic scattering, neutrino-pair bremsstrahlung and absorption from strongly-interacting nucleons. We calculate the relaxation rates using modern nuclear interactions and including many-body contributions, and find that rates of neutrino processes are reduced compared with estimates based on the one-pion exchange interaction, which is used in current simulations of core-collapse supernovae.
%U http://arxiv.org/abs/0808.0330