Effects of neutrino degeneracy in supernova models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Collapse, Neutrinos, Particle Interactions, Stellar Evolution, Stellar Models, Supernova Remnants, Astronomical Models, Astrophysics, Coherent Scattering, Degenerate Matter, Electron Scattering, Mean Free Path, Nucleons, Relaxation Time

Scientific paper

Transport relaxation times are calculated for elastic scattering of degenerate neutrinos from free nucleons and electrons as well as for coherent elastic scattering of degenerate neutrinos from nuclei during stellar collapse. An expression is obtained for the energy loss per collision suffered by neutrinos in such scattering, and the effect of neutrino degeneracy on the neutrino opacities is investigated. It is found that neutrino degeneracy reduces neutrino-electron scattering, but has little effect on scattering from free nucleons or coherent scattering from nuclei. This finding indicates that scattering from free nucleons and coherent scattering from nuclei are the dominant neutrino opacities in collapsing stellar cores at the highest neutrino energies, regardless of how degenerate the neutrinos are. The neutrino mean free path for such scattering is shown to be much less than the core radius if neutrino energies are greater than a few MeV, independent of the degree of core neutronization and the degree of neutrino degeneracy. These results suggest that neutrinos may flow out from the core very slowly, neutrino degeneracy cannot markedly increase the flow, and such degeneracy may do little to remove current difficulties encountered in the neutrino-transport model of supernovae.

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