  An attempt to predict the new atomic dark matter lines is done on the example
of a dark lepton atom - positronium. Its Layman-alpha line with the energy near
3 GeV may be observable if the appropriate conditions realize. For this we have
studied a {\gamma}-ray excess in the Center of our Galaxy. In principle, this
excess may be produced by the L{\alpha} line of a dark positronium in the
medium with Compton scattering. The possibility of observations of an
annihilation line (E~300 TeV) of dark positronium is also predicted. Other
proposals to observe the atomic dark matter are shortly described. Besides,
H{\alpha} line (1.3{\mu}) of usual positronum must be observable in the
direction on the Center of our Galaxy.
