  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.
