One of the source of neutrinos in the Sun is the decay 8 B2 + e +

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One of the source of neutrinos in the Sun is the decay 8B→2α + e+ + νe. The boron neutrinos dominate the energy spectrum around 10 MeV. Consider the energy interval 9 MeV < Eν < 11 MeV. In absence of oscillations their flux at the Earth should be Φ =1010 m–2s–1. The Super-Kamiokande detector is a 22.5 ktfiducial mass water Cherenkov detector in the Kamioka underground observatory.It detects these neutrinos by observing the electron produced in the elastic scatteringνe + e- → νe + e-. Assume the cross-section σ (νee) = 10-47 m2 and a detection efficiency ε = 50%. How many events per year are expected? How much is the observed rate in comparison? What is the reason for the difference, if there is one?

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