Effective Neutrino Mixing and Oscillations in Dense Matter

Abstract

We investigate the effective case of two-flavor neutrino oscillations in infinitely dense matter by using a perturbative approach. We begin by briefly summarizing the conditions for the three-flavor neutrino oscillation probabilities to take on the same form as the corresponding two-flavor probabilities. Then, we proceed with the infinitely dense matter calculations. Finally, we study the validity of the approximation of infinitely dense matter when the effective matter potential is large, but not infinite, this is done by using both analytic and numeric methods.

12 pages, 4 figures, Elsevier LaTeX, Final version to be published in Phys. Lett. B

References in corpus (5)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Large Matter Effects in ${\nu }_{\mu }\to {\nu }_{\tau }$ Oscillations

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• Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance
• Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions
• Approximative two-flavor framework for neutrino oscillations with nonstandard interactions
• Precise Formulation of Neutrino Oscillation in the Earth
• Why Is The Neutrino Oscillation Formula Expanded In $\Delta m_{21}^2/\Delta m_{31}^2$ Still Accurate Near The Solar Resonance In Matter?
• Sum rules and asymptotic behaviors of neutrino mixing in dense matter
• Radiative corrections to the lepton flavor mixing in dense matter
• An approximate solution for solar and supernova neutrino oscillation in matter