2008/10/17 by Joe Sato, Sato, Joe, Masafumi Koike +6
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamic Systems and Engines #Astrophysics and Cosmic Phenomena #Chemistry #FOS: Physical sciences #Fourier analysis #Fourier transform #High Energy Physics - Phenomenology (hep-ph) #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Optics #Oscillation (cell signaling) #Parametric oscillator #Parametric statistics #Particle physics #Physics #Quantum mechanics #Resonance (particle physics) #Spectral density #Statistics #hep-ph
paper · pdf · doi:10.48550/arxiv.0810.3104
published in arXiv (Cornell University) (Cornell University) · Prepared for the Proceedings for the 10th International Workshop on Neutrino Factories, Super beams and Beta beams (NuFACT08), June 30 -- July 5, 2008, Valencia, Spain. 3 pages, 2 figures, LaTeX
arxiv created 2008/10/17 · openalex publication_date 2008/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the parametric resonance of the neutrino oscillation through the matter whose density varies spatially. The Fourier analysis of the matter effect enables us to clarify the parametric resonance condition, which is summarized in a frequency matching between the neutrino oscillation and the spatial variation of the matter density. As a result, the n-th Fourier mode of a matter density profile modifies the energy spectrum of the numu -> nue appearance probability at around the n-th dip.