Mass measurable phase differences in neutrino oscillations

Abstract

We propose an ansatz, named the "particle ansatz", that in the rest frame of a flavor neutrino all its mass eigenstate momentums should simultaneously be zero. Under the particle ansatz, the mass measurable phase differences (mmPhDs) can be derived as $\Delta\phi_{ji}\simeq [2m_{\nu_\alpha}(m_j-m_i)/4 E_{\nu_\alpha}]L$. We show that using mmPhDs all three neutrino masses can be determined. In the foreseeable future all neutrino masses are expected to be determined by the spectral analysis of neutrino experiments.