We analyze the one-photon mechanism of $e^{+}{e}^{-}$ pair production in the collision of nonrelativistic nuclei. The contribution of electric quadrupole radiation of virtual photon to the corresponding cross section is found. The effect of the finite nuclear size is considered in detail. A comparison is made with the contribution of electric dipole radiation of virtual photon and with the contribution of the two-photon pair production mechanism. It is shown that the contribution of electric quadrupole radiation is dominant in a wide range of relative velocities. The cross section for the production of $e^{+}{e}^{-}$ pair with the capture of an electron by one of the nuclei is also analyzed.

中文翻译：

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非相对论原子核碰撞中的四极辐射和e ⁺ e ⁻对产生

我们分析了单光子机制 ${\mathrm{电子}}^{+}{\mathrm{电子}}^{-}$非相对论原子核碰撞中的对产生。发现了虚光子的电四极辐射对相应截面的贡献。详细考虑了有限核尺寸的影响。比较了虚光子电偶极子辐射的贡献和双光子对产生机制的贡献。结果表明，电四极杆辐射的贡献在较宽的相对速度范围内占主导地位。用于生产的横截面${\mathrm{电子}}^{+}{\mathrm{电子}}^{-}$ 还分析了其中一个核对电子的捕获。