2005/06/30 by Evgeny Akhmedov, E. Kh. Akhmedov, Michele Maltoni +3 · 2 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Dark Matter and Cosmic Phenomena #Formalism (music) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Oscillation (cell signaling) #Particle physics #Physics #astro-ph #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevlett.95.211801
published as Phys.Rev.Lett.95:211801,2005 · LaTeX, 5 pages, 1 figure. Linestyles in the figure corrected to match their description in the caption; improved discussion of the accuracy of the results; references added. Results and conclusions unchanged
arxiv created 2005/07/08 · openalex publication_date 2005/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a formalism for precise description of oscillation phenomena in matter at high energies or high densities, V>\ensuremathΔm2/2E, where V is the matter-induced potential of neutrinos. The accuracy of the approximation is determined by the quantity sin22\ensuremathθm\ensuremathΔV/2\ensuremathπV, where \ensuremathθm is the mixing angle in matter and \ensuremathΔV is a typical change of the potential over the oscillation length (l\ensuremath∼2\ensuremathπ/V). We derive simple and physically transparent formulas for the oscillation probabilities, which are valid for arbitrary matter density profiles. They can be applied to oscillations of high-energy (E>10 GeV) accelerator, atmospheric, and cosmic neutrinos in the matter of the Earth, substantially simplifying numerical calculations and providing an insight into the physics of neutrino oscillations in matter. The effect of parametric enhancement of the oscillations of high-energy neutrinos is considered.