# Raman stimulated neutrino pair emission

## TL;DR

This paper proposes a novel method using macroscopic coherence and Raman scattering to determine neutrino masses, mass hierarchy, and whether neutrinos are Majorana or Dirac, through analyzing angular distributions of neutrino-pair emission.

## Contribution

It introduces a theoretical scheme for neutrino mass measurement via collective Raman scattering, enabling experimental determination of neutrino properties with potential for realistic implementation.

## Key findings

- Angular distribution shows six thresholds corresponding to neutrino pairs.
- Threshold positions can determine the smallest neutrino mass with sub-meV precision.
- Event rates could be sufficient for experiments using doped crystal targets.

## Abstract

A new scheme using macroscopic coherence is proposed from a theoretical point to experimentally determine the neutrino mass matrix, in particular the absolute value of neutrino masses, and the mass type, Majorana or Dirac. The proposed process is a collective, coherent Raman scattering followed by neutrino-pair emission from an excited state $|e\rangle$ of a long lifetime to a lower energy state $|g\rangle$; $\gamma_0 + | e\rangle \rightarrow \gamma + \sum_{ij} \nu_i \bar{\nu_j} + | g\rangle $ with $ \nu_i \bar{\nu_j}$ consisting of six massive neutrino-pairs. Calculated angular distribution has six $(ij)$ thresholds of massive neutrino-pair emission which show up as steps at different angles in the distribution. Angular locations of thresholds and event rates of the angular distribution make it possible to experimentally determine the smallest neutrino mass to the level of less than 1 meV (accordingly all three masses using neutrino oscillation data) , the mass ordering pattern , normal or inverted, and to distinguish whether neutrinos are of Majorana or Dirac type. Event rates of neutrino-pair emission, when the mechanism of macroscopic coherence amplification works, may become large enough for realistic experiments by carefully selecting certain types of target atoms or ions doped in crystals. The problem to be overcome is macro-coherently amplified quantum electrodynamic background of the process, $\gamma_0 + | e\rangle \rightarrow \gamma +\gamma_2 + \gamma_3+ | g\rangle $, when two extra photons, $\gamma_2\,, \gamma_3$, escape detection. We illustrate our idea using neutral Xe and trivalent Ho ion doped in dielectric crystals.