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 $\Delta {\varphi }_{ji}\simeq [2m_{{\nu }_{\alpha }}(m_j-m_i)/4E_{{\nu }_{\alpha }}]L$. 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.