Hypersharp Neutrino Lines

Abstract

Neutrino lines from very long lived nuclei in simple crystals such as metals have hypersharp natural width, motionally narrowed by lattice vibrations in analogy to recoilless emission. A generalized hypersharp line fraction including the recoilless part can be derived in a frequency modulation approach. The nue lines of natural width in 3H to 3He 2-body beta-decay can then be resonantly captured with geometrical cross section. The extreme sharpness DeltaE/E~10-29 of the tritium nue line can probe the Planck length L via its limits on the widths of states, DeltaE/E(L) =L(L/R)beta =10-20(beta ~1) to 10-40 (beta= L/R(fm)). Stringent limits can be set on beta, thus, on models of quantum gravity.