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An approximate solution for solar and supernova neutrino oscillation in matter

Rui Luo
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Abstract

By using Laplace transformation we developed an approximate solution to describe neutrino oscillation probabilities in arbitrary density matter. We show that this approximation solution is valid when matter potential V satisfy $V< Δm^2/2E$ and $\int VL<1$, where $L$ is the length of the neutrino oscillation . Thus, the formula is useful for propagation of the solar or supernova neutrinos with terrestrial matter effect.

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Rui Luo. 2005-06-03. An approximate solution for solar and supernova neutrino oscillation in matter. https://arxiv.org/abs/hep-ph/0506020

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