  A non-relativistic quantum mechanical model for interaction of dark particles
with matter is proposed; the model describes resonant amplification of
effective interaction between two massive bodies at large distances between
them. The phenomenon is explained by catalytic action by a third dark particle
scattered at a system of two heavy bodies. It is shown that effective
interaction between the heavy bodies is changed at large distances and can
transform into repulsion contributing in that case to the dark energy action.
