  Bethe-Salpeter equation, for massless exchange and large fine structure
constant $\alpha>\pi/4$, in addition to the Balmer series, provides another
(abnormal) series of energy levels which are not given by the Schr\"odinger
equation. So strong field can be created by a point-like charge $Z>107$. The
nuclei with this charge, though available, they are far from to be point-like
that weakens the field. Therefore, the abnormal states of this origin hardly
exist.
  We analyze the more realistic case of exchange by a massive particle when the
large value of coupling constant is typical for the strong interaction. It
turns out that this interaction still generates a series of abnormal
relativistic states. The properties of these solutions are studied. Their
existence in nature seems possible.
