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.
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