High Energy Physics - Phenomenology
[Submitted on 3 Jun 2005]
Title:An approximate solution for solar and supernova neutrino oscillation in matter
View PDFAbstract: 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 $V< \Delta m^2/2E$ 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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