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Fourier analysis of the parametric resonance in neutrino oscillations

2009/02/10 by Masafumi Koike, Toshihiko Ota, Masako Saito +2 · 3 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Quantum, superfluid, helium dynamics #hep-ph

paper · pdf · doi:10.1016/j.physletb.2009.03.038

published as Phys.Lett.B675:69-72,2009 · 12 pages, 3 color figures, LaTeX, elsarticle.sty

arxiv created 2009/02/10 · openalex publication_date 2009/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Parametric enhancement of the appearance probability of the neutrino oscillation under the inhomogeneous matter is studied. Fourier expansion of the matter density profile leads to a simple resonance condition and manifests that each Fourier mode modifies the energy spectrum of oscillation probability at around the corresponding energy; below the MSW resonance energy, a large-scale variation modifies the spectrum in high energies while a small-scale one does in low energies. In contrast to the simple parametric resonance, the enhancement of the oscillation probability is itself an slow oscillation as demonstrated by a numerical analysis with a single Fourier mode of the matter density. We derive an analytic solution to the evolution equation on the resonance energy, including the expression of frequency of the slow oscillation.

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