论文标题
$ e^+e^ - $ $ $ $ $ $ $ $在阈值附近的库仑字段中
Photoproduction of $e^+e^-$ pair in a Coulomb field near the threshold
论文作者
论文摘要
我们考虑通过阈值附近的库仑场中的一个光子产生电子峰值对。我们在参数$ ze^2/\ hbar v $中精确地获得了粒子能谱和角分布的分析结果。我们表明,Nishina,Tomonaga和Sakata使用的波函数的毛茸茸 - 塞菲尔德 - 摩尔近似不足,导致错误的结果。
We consider the electron-positron pair production by a photon in Coulomb field near threshold. We obtain the analytical results for the particle energy spectrum and angular distribution exactly in the parameter $Ze^2/\hbar v$. We show that Furry-Sommerfeld-Maue approximation for the wave functions used by Nishina, Tomonaga and Sakata is not sufficient and leads to wrong results.