Parametric Resonance in Oscillations of Atmospheric Neutrinos?

Abstract

We consider a solution of the atmospheric neutrino problem based on oscillations of muon neutrinos to sterile neutrinos: ${\nu }_{\mu }$ $\leftrightarrow$ ${\nu }_s$. The zenith angle ($\Theta$) dependences of the neutrino and upward-going muon fluxes in presence of these oscillations are studied. The dependences have characteristic form with two dips: at $\cos \Theta =-0.6÷-0.2$ and $\cos \Theta =-1.0÷-0.8$. The latter dip is due to parametric resonance in oscillations of neutrinos which cross the core of the earth. A comparison of predictions with data from the MACRO, Baksan and Super-Kamiokande experiments is given.

14 pages + 9 eps figures in 6 pages, Latex file

References in corpus (1)

• Neutrino Mass Spectrum with ${\nu }_{\mu }$ $\to$ ${\nu }_s$ Oscillations of Atmospheric Neutrinos

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