  In case of spinless particles there appear additional (singular) solutions in
the framework of relativistic Klein-Gordon equation for Coulomb potential.
These solutions obey to all requirements of quantum mechanical general
principles. Observation of such states (hydrino, small hydrogen) should be
important for manifestation of various physical phenomena. In this article the
same problem is considered for spin-1/2 particle (electron) in the Dirac
equation. It is shown that such kind of solutions really occurs, but the rate
of singularity is more higher than in spinless case. By this reason we have no
time- independence of total probability (norm). Moreover the orthogonality
property is also failed, while the total probability is finite in the certain
area of the model-parameters. Therefore, we are inclined to conclude that this
additional solution in the Dirac equation must be ignored and restrict
ourselves only by normal (standard) solutions.
