Physics – Nuclear Physics
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvc..40..865s&link_type=abstract
Physical Review C (Nuclear Physics), Volume 40, Issue 2, August 1989, pp.865-874
Physics
Nuclear Physics
52
Supernovae, Nuclear Matter, Beta Decay, Double Beta Decay, Electron And Muon Capture
Scientific paper
Neutrino opacities are analyzed in terms of correlation functions for density, spin density, isospin density, and spin-isospin density operators. In a long-wavelength limit appropriate to the scattering of thermal neutrinos in most situations relevant to the supernova, the opacities coming from the neutral current interaction are given in terms of susceptibilities, ∂ρi/∂μj, where ρi are the various densities and μj the associated chemical potentials. These susceptibilities are calculated in the framework of a Skyrme interaction, one which has been used in calculations of the hot equation of state, supplemented by spin-dependent terms from other sources. There is a large reduction in the Gamow-Teller part of the cross sections in all of the domains of temperature, proton fraction, and density which were studied. Effects of the screened Coulomb force also cause a large reduction in the opacity arising from the Fermi interaction of the neutrino with protons, in some domains of density and temperature.
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