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We derive the spectrum and the total cross section of electromagnetic$e^{+}e^{-}$ pair production in the collisions of two nuclei at low relativevelocity $\beta$. Both free-free and bound-free $e^{+}e^{-}$ pair production isconsidered. The parameters $\eta_{A,B}=Z_{A,B}\alpha$ are assumed to be smallcompared to unity but arbitrary compared to $\beta$ ($Z_{A,B}$ are the chargenumbers of the nuclei and $\alpha$ is the fine structure constant). Due to asuppression of the Born term by high power of $\beta$, the first Coulombcorrection to the amplitude appears to be important at $\eta_{A,B}\gtrsim\beta$. The effect of a finite nuclear mass is discussed. In contrast to theresult obtained in the infinite nuclear mass limit, the terms $\propto M^{-2}$are not suppressed by the high power of $\beta$ and may easily dominate atsufficiently small velocities.

Electron-positron pair production in ion collisions at low velocity beyond Born approximation