  It is shown that there are anomalous bound-state solutions to the two-body
Dirac equation for an electron and positron interacting via an electromagnetic
potential. These anomalous solutions have quantized coordinates at nuclear
distances (fermi) and are orthogonal to the usual atomic positronium
bound-states as shown by a simple extension of the Bethe-Salpeter equation. It
is shown that the anomalous states have many properties which correspond to
those of neutrinos.
