Mass measurable phase differences in neutrino oscillations

TL;DR

This paper introduces the 'particle ansatz' for neutrino oscillations, deriving a new phase difference formula that enables the determination of all neutrino masses through spectral analysis in future experiments.

Contribution

It proposes the 'particle ansatz' and derives mass measurable phase differences, providing a novel method to determine all neutrino masses.

Findings

Derivation of the mass measurable phase differences formula.

Potential to determine all neutrino masses via spectral analysis.

Theoretical foundation for future neutrino mass measurements.

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.