Nonadiabatic Level Crossing in Resonant Neutrino Oscillations

Journal Article · Mon Sep 08 00:00:00 EDT 1986 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.57.1275· OSTI ID:5086934

Parke, Stephen J. ^[1]

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1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

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 $$\langle P_{v_{c}}\rangle$$ ≈ sin²$$θ_0$$ + $$P_x$$ cos 2$$θ_0$$, where $$θ_0$$ 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.

• Research Organization: Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-07CH11359
• OSTI ID: 5086934
• Report Number(s): FERMILAB-Pub-86/67-T
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 57; ISSN 0031-9007
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Landau-Zener formula
detection
eigenstates
electron neutrinos
elementary particles
fermions
leptons
massless particles
neutrino detection
neutrino oscillation
neutrinos
probability
radiation detection
radiations
resonance
solar neutrinos
solar particles
solar radiation
stellar radiation