Detection of the Neutrino Fluxes from Several Sources

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It is considered the detection of neutrinos moving from the opposite directions. The states of the particle of the detector interacting with the neutrinos are connected with the P-transformation. Hence only a half of neutrinos gives contribution into the superposition of the neutrino states. Taking into account the effect of the opposite neutrino directions the total neutrino flux from several sources are in the range 0.5--1 of that without the effect. The neutrino flux from nuclear reactors measured in the KamLAND experiment is $0.611\pm 0.085 {\rm (stat)} \pm 0.041 {\rm (syst)} $ of the expected flux. Calculations for the conditions of the KamLAND experiment yield the neutrino flux taking into account the effect of the opposite neutrino directions, 0.555, of that without the effect that may account for the neutrino flux observed in the KamLAND experiment.
Submitted to Phys. Rev. Lett

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