  We propose the general scaling model for the diffusio n-annihilation reaction
$A_{+} + A_{-} \longrightarrow \emptyset$ with long-range power-law i
nteractions. The presented scaling arguments lead to the finding of three
different regimes, dep ending on the space dimensionality d and the long-range
force power e xponent n. The obtained kinetic phase diagram agrees well with
existing simulation data and approximate theoretical results.
