An approximate solution for solar and supernova neutrino oscillation in matter

2005/06/03 by Rui Luo, Luo, Rui
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0506020

15 pages, 3 figures

arxiv created 2005/06/03 · arxiv updated 2009/12/01

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< Δm²/2E and ∫ 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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