Physics
Scientific paper
Aug 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998stin...0120643a&link_type=abstract
Technical Report, DE99-607934; IC-98/98
Physics
Oscillations, Solar Neutrinos, Zenith, Earth Core, Resonance, Eigenvectors
Scientific paper
We consider the oscillations of atmospheric neutrinos in the earth in the three-neutrino scheme with a (Delta)m(sup 2) hierarchy and a small admixture of the electron neutrino in the heavy mass eigenstate characterized by the mixing angle theta13. We show that for (Delta)m(sup 2) (approx-equal) (0.5-3) x 10 -3 eV(sup 2) indicated by the Super-Kamiokande data and sin(sup 2) 2(theta)13 < or approx. 0.2, the oscillations of multi-GeV neutrinos in the subdominant numu (r-reversible) nue mode are enhanced by the MSW and parametric resonances. The parametric resonance, which occurs when the neutrinos cross the core of the earth, dominated for (Delta)m(sup 2) (approx-equal) (1-2) x 10 -3 V(sup 2), sin(sup 2) 2(theta)13 < or approx. 0.06. The resonance matter effects lead to an observable excess of the e-like events with a specific zenith angle dependence even for small theta 13. The up-down asymmetry of the multi GeV elike events can reach 15% for vertical-bar cos(Theta)e (vertical-bar) > 0.2 and up to 30% for (vertical-bar) cos(Theta)e (vertical-bar) > 0.6, where Thetae is the zenith angle of the electron. The resonance matter effects are relevant for the interpretation of the Super-Kamiokande data.
Akhmedov Evgeny
Dighe Amol
Lipari Paolo
Smirnov Alexander
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