Legendre expansion of the neutrino-electron scattering kernel.

Details Legendre expansion of the neutrino-electron scattering kernel. Legendre expansion of the neutrino-electron scattering kernel.

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996a%26a...311..347s&link_type=abstract

Astronomy and Astrophysics, v.311, p.347-351

Astronomy and Astrophysics

Astrophysics

4

Dense Matter, Scattering, Supernovae

Scientific paper

The expansion of the neutrino-electron scattering rate in a Legendre series of the scattering angle is extended to include quadratic terms. This extension provides a considerable improvement of the `fit' to the scattering rate. On the other hand, the effect of the quadratic terms on the neutrino transport during the infall phase of a Type II supernova is found to be negligible. This is partly due to the specific state of the matter background and the shape of the neutrino spectra which suppress the phase space where the quadratic Legendre approximant could be significant. Furthermore, the intrinsic structure of the Boltzmann equation causes suppression of (nearly) coherent scattering in the forward direction where the scattering rate deviates most from a linear approximation.

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