Exact series solution to the two flavor neutrino oscillation problem in matter

Details Exact series solution to the two flavor neutrino oscillation problem in matter Exact series solution to the two flavor neutrino oscillation problem in matter

2004-05-05

arxiv.org/abs/hep-ph/0405033v2

J.Math.Phys. 45 (2004) 4053-4063

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 5 figures, RevTeX4. Final version to be published in Journal of Mathematical Physics

Scientific paper

In this paper, we present a real non-linear differential equation for the two flavor neutrino oscillation problem in matter with an arbitrary density profile. We also present an exact series solution to this non-linear differential equation. In addition, we investigate numerically the convergence of this solution for different matter density profiles such as constant and linear profiles as well as the Preliminary Reference Earth Model describing the Earth's matter density profile. Finally, we discuss other methods used for solving the neutrino flavor evolution problem.

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