Exact expressions and improved approximations for interaction rates of neutrinos with free nucleons in a high-temperature, high-density gas

Astronomy and Astrophysics – Astrophysics

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Interstellar Gas, Neutrinos, Neutron Stars, Stellar Interiors, Absorption Spectra, Antineutrinos, Electron Scattering, Emission Spectra, Particle Interactions, Supernovae

Scientific paper

The exact expressions needed in the neutrino transport equations for scattering of all three flavors of neutrinos and antineutrinos off free protons and neutrons, and for electron neutrino absorption on neutrons and electron antineutrino absorption on protons, are derived under the assumption that nucleons are noninteracting particles. The standard approximations even with corrections for degeneracy, are found to be poor fits to the exact results. Improved approximations are constructed which are adequate for nondegenerate nucleons for neutrino energies from 1 to 160 MeV and temperatures from 1 to 50 MeV.

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