Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-08-03
Phys.Rev.C78:045803,2008
Physics
Nuclear Physics
Nuclear Theory
16 pages, 4 figures; NORDITA-2008-30; published version
Scientific paper
10.1103/PhysRevC.78.045803
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.
Lykasov Gennadi I.
Pethick Christopher J.
Schwenk Achim
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