Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-10-27
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages of text, 31 Postscript figures, LATEX; corrected version of the report SISSA 53/98/EP, 31 July, 1998
Scientific paper
Assuming two-neutrino mixing takes place in vacuum, we study in detail the conditions under which the $\nu_2 \to \nu_{e}$ and $\nu_{\mu} \to \nu_{e}$ ($\nu_e \to \nu_{\mu(\tau)}$) transitions in the Earth are strongly enhanced by the neutrino oscillation length resonance when the neutrinos cross the Earth core. We show, in particular, that the neutrino oscillation length resonance is operative also in the $\bar{\nu}_{\mu} \to \bar{\nu}_{s}$ transitions at small mixing angles. The properties of the $\nu_2 \to \nu_{e}$ and $\nu_{\mu} \to \nu_{e}$ ($\nu_e \to \nu_{\mu(\tau)}$) transition probabilities in the corresponding resonance regions are examined. Some implications of our results for the transitions of solar and atmospheric neutrinos traversing the Earth core, relevant for the interpretation of the results of the solar and atmospheric neutrino experiments, are also discussed.
Chizhov Mihail
Mariş Mihai
Petcov Serguey T.
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