An approximate solution for solar and supernova neutrino oscillation in matter

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 $V<\Delta m^2/2E$ 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.

15 pages, 3 figures

References in corpus (7)

• T violation in neutrino oscillations in matter
• Testing the Solar Neutrino Conversion with Atmospheric Neutrinos
• Matter Effects on Neutrino Oscillations in Long Baseline Experiments
• Neutrino oscillations in low density medium
• A precise analytical description of the Earth matter effect on oscillations of low energy neutrinos
• Solar Mikheyev-Smirnov-Wolfenstein Effect with Three Generations of Neutrinos
• Effective Neutrino Mixing and Oscillations in Dense Matter