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Neutrino oscillations can be explained by exchange with the cosmic neutrino background

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摘要: We propose a simple, direct and verifiable explanation for the neutrino oscillations. This explanation is based on the exchange effect between identical particles. Specifically, the experimental neutrinos acquire a tiny potential energy inversely proportional to their energy by exchanging with the Cosmic Neutrino Background (CνB). This exchange occurs both between neutrinos of the same flavour and between neutrinos of different flavours, and the latter makes the three potential energy eigenstates of the experimental neutrinos different from the three flavour eigenstates. In terms of the effect on the phase factor of the wave function, a neutrino having a tiny potential energy inversely proportional to its energy is equivalent to it having a tiny apparent mass, and the potential eigenstates being a mixture of flavour eigenstates is equivalent to the mass eigenstates being a mixture of flavour eigenstates. We calculate the potential eigenvalues and eigenstates of the potential energy matrix expressed by the exchange amplitudes between the experimental neutrinos and the CνB, and determine the matrix (with one free parameter) by using the measurement data of the neutrino oscillation experiments. The values of the matrix elements have the features that are consistent with the prediction of the Standard Cosmological Model (SCM) for the distribution of the CνB. In addition, the SCM predicts the magnitude of the background neutrino flux, and according to our theory, if the flux of experimental neutrinos is much larger than that of the background neutrinos, then the neutrino exchange may change the distribution of the background neutrinos, and thus change the apparent mass of the neutrinos as well as the way of mixing. This provides a new and unified perspective to explain various anomalies in experiments involving high-flux neutrino sources. Systematically studying the relationship between these anomalies and the magnitude of neutrino flux through experiments would provide a realistic way to test our theory.

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[V1] 2024-06-11 15:20:57 ChinaXiv:202406.00267V1 下载全文
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