Nonadiabatic Level Crossing in Resonant Neutrino Oscillations

1986/09/08 by Stephen Parke · 12 citations
Physics and Astronomy · #Adiabatic process #Astrophysics and Cosmic Phenomena #Atomic physics #Dark Matter and Cosmic Phenomena #Electron #Neutrino #Neutrino Physics Research #Neutrino oscillation #Oscillation (cell signaling) #Particle physics #Physics #Quantum mechanics #Resonance (particle physics)

paper · doi:10.1103/physrevlett.57.1275

openalex publication_date 1986/09/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Analytic results are presented for the probability of detecting an electron neutrino after passage through a resonant oscillation region. If the electron neutrino is produced far above the resonance density, this probability is simply given by 〈P_\ensuremathν_e〉\ensuremath≈sin²\ensuremathθ₀+P_xcos2\ensuremathθ₀, where \ensuremathθ₀ is the vacuum mixing angle. The probability is averaged over the production as well as the detection positions of the neutrino and P_x is the Landau-Zener transition probability between adiabatic states. Finally, this result is applied to resonance oscillations within the solar interior.

Citations

• Mikheyev-Smirnov-Wolfenstein enhancement of oscillations as a possible solution to the solar-neutrino problem
• Possible Explanation of the Solar-Neutrino Puzzle
• Neutrino oscillations and stellar collapse

Cited by

• Neutrino flavor transformation in the lepton-asymmetric universe
• Neutrino electromagnetic interactions: A window to new physics
• Prospects for detecting supernova neutrino flavor oscillations
• Solar Mass-Varying Neutrino Oscillations
• Nonstandard models, solar neutrinos, and largeθ13
• Probing oscillations into sterile neutrinos with cosmology, astrophysics and experiments
• The MSW Effect and Matter Effects in Neutrino Oscillations
• A road map to solar neutrino fluxes, neutrino oscillation parameters, and tests for new physics
• LMA and sterile neutrinos: a case for resonance spin flavour precession
• Complementarity of eastern and western hemisphere long-baseline neutrino oscillation experiments
• What fraction of boron-8 solar neutrinos arrive at the Earth as aν2mass eigenstate?
• Mikheyev–Smirnov–Wolfenstein effect [wikipedia]