  A localized wave packet exhibits under certain conditions zitterbewegung. A
similar phenomenon occurs for the chirality of a massive particle. In the case
of massive neutrinos, since they are detected via the V-A weak charged
currents, this oscillation may even explain the ``missing'' solar neutrino
experiments. The neutrino remains a mass eigenstate but contains an almost
sterile right-handed component. This qualitative discussion opens up a number
of interesting physical considerations.
