A simulation has been conducted of a realistic gravitational collapse in which neutrino-electron scattering is not approximated in the neutrino transport equation. The simulation code is based on the Newtonian gravity, the O(v/c) Lagrangian hydrodynamic equations, and the O(v/c) neutrino Boltzmann equation. Only electron-neutrino weak interactions were included; these encompass electron capture on nuclei and free protons, electron-neutrino absorption on nuclei and free neutrons, conservative scattering of electron-neutrinos on free protons and neutrons, conservative coherent scattering of electron-neutrinos on nuclei, and neutrino-electron scattering.
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Mezzacappa et al. (1993) studied this question.