Random Phase Approximation and neutrino-nucleus cross sections

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The Random Phase Approximation theory is used to calculate the total cross sections of electron neutrinos on $^{12}$C nucleus. The role of the excitation of the discrete spectrum is discussed. A comparison with electron scattering and muon capture data is presented. The cross section of electron neutrinos coming from muon decay at rest is calculated.
6 pages, 5 eps figures, Presented at the XX Max Born Symposium, Wroclaw (Poland)

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