Parametric resonance in neutrino oscillation: A guide to control the effects of inhomogeneous matter density

Effects of the inhomogeneous matter density on the three-generation neutrino oscillation probability are analyzed. Realistic profile of the matter density is expanded into a Fourier series. Taking in the Fourier modes one by one, we demonstrate that each mode has its corresponding target energy. The...

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Bibliographic Details
Published in:Physics letters. B 2016-08, Vol.759 (C), p.266-271
Main Authors: Koike, Masafumi, Ota, Toshihiko, Saito, Masako, Sato, Joe
Format: Article
Language:English
Subjects:
Density
Elementary particles
Fourier analysis
Fourier series
Guidelines
Low energy
Matter effect
Neutrino oscillation
Neutrinos
Parametric resonance
Uncertainty
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Summary:Effects of the inhomogeneous matter density on the three-generation neutrino oscillation probability are analyzed. Realistic profile of the matter density is expanded into a Fourier series. Taking in the Fourier modes one by one, we demonstrate that each mode has its corresponding target energy. The high Fourier mode selectively modifies the oscillation probability of the low-energy region. This rule is well described by the parametric resonance between the neutrino oscillation and the matter effect. The Fourier analysis gives a simple guideline to systematically control the uncertainty of the oscillation probability caused by the uncertain density of matter. Precise analysis of the oscillation probability down to the low-energy region requires accurate evaluation of the Fourier coefficients of the matter density up to the corresponding high modes.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2016.05.083