  A new scheme for the two-dimensional cooling of ion beams in storage rings is
suggested in which ions interact with a counterpropagating broad-band laser
beam. The interaction region in the direction of the ion movement is much less
then the wavelength of the ion betatron oscillations. The laser beam in the
orbit plane has sharp flat edge directed to the ion beam and the width of the
laser beam of the order of the ion beam width. Laser beam radial position is
being displaced with some velocity at first from inside and then from outside
to the ion beam and decreases both betatron and synchrotron oscillations.
