Absolute neutrino mass and the Dirac/Majorana distinction from the weak interaction of aggregate matter

Abstract

The 2$\nu$-mediated force has a range of microns, well beyond the atomic scale. The effective potential is built from the t-channel absorptive part of the scattering amplitude and depends on neutrino properties on-shell. We demonstrate that neutral aggregate matter has a weak charge and calculate the matrix of six coherent charges for its interaction with definite-mass neutrinos. Near the range of the potential the neutrino pair is non-relativistic, leading to observable absolute mass and Dirac/Majorana distinction via different r-dependence and violation of the weak equivalence principle.

6 pages, 3 figures, 1 table

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• Measurement of Neutrino Oscillation by the K2K Experiment
• New Test of the Gravitational $1/r^2$ Law at Separations down to 52 $\mu$m
• First observation of two-neutrino double electron capture in ${}^{124}$Xe with XENON1T
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