New Enhancement Mechanism of the Transitions in the Earth of the Solar and Atmospheric Neutrinos Crossing the Earth Core

Abstract

It is shown that the ${\nu }_2\to {\nu }_e$ and ${\nu }_{\mu }\to {\nu }_e$ (${\nu }_e\to {\nu }_{\mu (\tau )}$) transitions respectively of the solar and atmospheric neutrinos in the Earth in the case of ${\nu }_e-{\nu }_{\mu (\tau )}$ mixing in vacuum, are strongly enhanced by a new type of resonance when the neutrinos cross the Earth core. The resonance is operative at small mixing angles but differs from the MSW one. It is in many respects similar to the electron paramagnetic resonance taking place in a specific configuration of two magnetic fields. The conditions for existence of the new resonance include, in particular, specific constraints on the neutrino oscillation lengths in the Earth mantle and in the Earth core, thus the resonance is a ``neutrino oscillation length resonance''. It leads also to enhancement of the ${\nu }_2\to {\nu }_e$ and ${\nu }_e\to {\nu }_s$ transitions in the case of ${\nu }_e-{\nu }_s$ mixing and of the ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_s$ (or ${\nu }_{\mu }\to {\nu }_s$) transitions at small mixing angles. The presence of the neutrino oscillation length resonance in the transitions of solar and atmospheric neutrinos traversing the Earth core has important implications for current and future solar and atmospheric neutrino experiments, and more specifically, for the interpretation of the results of the Super-Kamiokande experiment.

6 pages, two eps-files, one espcrc2.sty file; the text includes 2 figures. Talk given at the ``Neutrino'98'' International Conference on Neutrino Physics and Astrophysics, June 3 - 9, 1998, Takayama, Japan (to be published in the Proceedings of the Conference)

References in corpus (2)

• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Diffractive-Like (or Parametric-Resonance-Like?) Enhancement of the Earth (Day-Night) Effect for Solar Neutrinos Crossing the Earth Core

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• Atmospheric Neutrino Oscillations, theta(13) and Neutrino Mass Hierarchy
• Determining the Neutrino Mass Hierarchy with Atmospheric Neutrinos
• Validating the Earth's Core using Atmospheric Neutrinos with ICAL at INO
• From oscillation dip to oscillation valley in atmospheric neutrino experiments
• Locating the Core-Mantle Boundary using Oscillations of Atmospheric Neutrinos
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Physics Reach of Atmospheric Neutrino Measurements at PINGU
• A Novel Approach to Study Atmospheric Neutrino Oscillation
• Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
• Demonstrating the ability of IceCube DeepCore to probe Earth's interior with atmospheric neutrino oscillations