2016/03/30 by Masafumi Koike, Toshihiko Ota, Masako Saito +2 · 1 citation
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computational physics #Energy (signal processing) #Fourier analysis #Fourier series #Fourier transform #Mathematical analysis #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Oscillation (cell signaling) #Parametric oscillator #Parametric statistics #Particle physics #Physics #Probability density function #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Statistical physics #Statistics #hep-ph
paper · pdf · doi:10.1016/j.physletb.2016.05.083
published in Physics Letters B 759, 266-271 (Elsevier BV) · 7 pages, 5 eps figures
arxiv created 2016/03/30 · openalex publication_date 2016/05/30 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.