Towards neutrino transport with flavor mixing in supernovae: the Liouville operator

Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena

Scientific paper

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Belated posting of contribution to NOW 2008 proceedings. 3 pages

Scientific paper

10.1016/j.nuclphysbps.2009.02.06

The calculation of neutrino decoupling from nuclear matter requires a transport formalism capable of handling both collisions and flavor mixing. The first steps towards such a formalism are the construction of neutrino and antineutrino "distribution matrices," and a determination of the Liouville equations they satisfy in the noninteracting case. These steps are accomplished through study of a Wigner-transformed "density function," the mean value of paired neutrino quantum field operators.

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