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Setup of a Drift Tube Muon Tracker and Calibration of Muon ...

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Figure 2.1: Neutrino flux at Earth predicted by the St<strong>and</strong>ard Solar Model. Solidlines: neutrinos produced in the pp-chain, dashed lines: neutrinos produced in theCNO cycle. Figure taken from [43]. For neutrinos with a continuous energy spectrum,the flux is given per MeV bin.measurements can therefore be used to test the prediction <strong>of</strong> the SSM that the Sunis in a quasi-steady state in which the energy rate released in the fusion processesequals the surface radiation rate.2.3.3 Oscillations <strong>of</strong> Solar NeutrinosDetermining parameters <strong>of</strong> solar oscillation allows to improve the measurements <strong>of</strong>∆m 12 <strong>and</strong> θ 12 . Especially the MSW effect presented in Section 2.2.2 <strong>of</strong>fers a largephysics potential regarding solar neutrinos. Solar neutrino oscillations would benegligible without matter enhancement. Solar ν e s are mixtures <strong>of</strong> ν 1 <strong>and</strong> ν 2 witha negligible component <strong>of</strong> ν 3 . It is thus possible to regard their propagation as atwo neutrino phenomenon with the two flavor states ν e <strong>and</strong> ν x , the latter beinga combination 8 <strong>of</strong> ν µ <strong>and</strong> ν τ . From Eq. 2.7 one can see, that the matter effectson a neutrino’s oscillation grows with the particle’s energy. In the solar neutrinospectrum, the 8 B neutrinos have (next to hep neutrinos) the highest energy, so theinfluence <strong>of</strong> the Sun’s matter should be most significant for them. Assuming, solarneutrinos are created in the Sun’s core, the particle travels through regions withadiabatic decreasing electron densities N e on its way to Earth. N e reduces slowly onthe way outside the Sun, leading to a radius r dependent potential V W . It can beshown that due to the MSW effect, a 8 B ν e produced in the core as a superposition8 The exact ν µ ν τ composition depends on the atmospheric mixing angle θ atm <strong>and</strong> is <strong>of</strong> noimportance here13

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