Form-factor corrections to superpositronium and short-distance behavior of the magnetic moment of the electron

We present a nonperturbative theory of superpositronium, the highly massive very narrow resonance states in the electron-positron system due to anomalous-magnetic-moment interactions. From basic coupled equations of quantum electrodynamics we show that the form-factor corrections play a role only at distances smaller than the superpositronium size, $\frac{{\alpha }^2}{m}$, in such a way as to precisely induce the formation of the superpositronium.