1999/09/30 by James M. Gelb, S. P. Rosen · 2 citations
Chemistry · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Chemistry #Dirac (video compression format) #MAJORANA #Mass matrix #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Solar neutrino #Solar neutrino problem #Sterile neutrino #hep-ph
paper · pdf · doi:10.1103/physrevd.62.013003
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 62(1) (American Physical Society) · 4 pages, 0 figures, minor text changes
arxiv created 2000/02/24 · openalex publication_date 2000/05/30 · arxiv updated 2011/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct a mass matrix for the four neutrino flavors, three active and one sterile, needed to fit oscillations in all three neutrino experiments: atmospheric, solar, and LSND, simultaneously. It organizes the neutrinos into two doublets whose central values are about 1 eV apart, and whose splittings are of the order of 10^\ensuremath-3 eV. Atmospheric neutrino oscillations are described as maximal mixing within the upper doublet, and solar as the same within the lower doublet. Then LSND is a weak transition from one doublet to the other. We comment on the Majorana versus Dirac nature of the active neutrinos and show that our mass matrix can be derived from an S2\ifmmode×\else\texttimes\fiS2 permutation symmetry plus an equal splitting rule.