Some Unsettled Questions in the Problem of Neutrino Oscillations. Experiments

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It is shown that in order to register neutrino oscillations, it is necessary to see second or higher neutrino oscillation modes on experiments. For this purpose we can use the elliptic character of 1the Earth orbit. A special importance for study of the Earth neutrino sources, using big neutrino detectors, is stressed here. The analysis is showing that the SNO experimental results do not confirm the smallest of νe → ντ transition angle mixings, which was obtained from analysis of the CHOOZ experimental data. It is also noted that there is contradiction between SNO, super-Kamiokande, Homestake and the SAGE and GNO (GALLEX) data. 1. Introduction In this article we will consider some unsettled questions in experiments on the problem of neutrino oscillations. 2. experimental Observation of the Neutrino Oscillations At present it supposed that the neutrino oscillations have been observed [1-3], In reality in these experiments there were observed only transitions between (the Sun or atmospheric) neutrinos. Since we presume that the neutrino oscillations do take place; therefore we must observe (Sun) neutrino oscillations in reality. Since the length of neutrino oscillations is great sufficiently, we cannot observe the higher modes in terrestrial experiment. But we have another possibility to observe the Sun neutrino oscillation using the fact that the Earth orbit is the elliptic one with: Earth's perihelion RP = 147.117 ·106k m , Earth's aphelion RA = 152.083 ·106k m, and their difference R is R = 4.866 · 106 k m. Since the Sun neutrinos conclude all energies up to 15M eV , we must divide this energy spectrum into energy regions and observe these neutrino fluxes as a function of energy and the Ears's distances from the Sun. At these conditions we must observe the neutrino oscillations, in order to determine if the length of neutrino oscillation Rosc is bigger than the region where these (high energy)

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