AI 中文总结
研究利用数值格林函数计算类氢原子单圈自能，通过求解径向狄拉克方程获取函数，在不同规范下计算自能修正，给出不同区域相对不确定度结果，还讨论了方法局限与改进。
AI 中文摘要
我们使用通过在指数基组中求解径向狄拉克方程获得的数值格林函数来计算类氢原子中的单圈自能。在费曼规范下，类氢铀基态的自能修正以约\(10^{-5}\)的相对不确定度获得。通过收敛加速方案，我们将计算扩展到低核电荷区域。我们的结果允许以\(10^{-4}\)的相对不确定度计算氢原子的自能修正。还给出了库仑规范下的计算，将精度提高到\(10^{-5}\)。讨论了我们方法目前的局限性和可能的改进。
英文摘要
We calculate the one-loop self-energy in hydrogenlike atoms using a numerical Green function obtained by solving the radial Dirac equation in an exponential basis set. The self-energy correction in the ground state of hydrogenlike uranium is obtained with about $10^{-5}$ relative uncertainty in the Feynman gauge. Using a convergence acceleration scheme, we extend our calculations to the region of low nuclear charges. Our results allow calculating the self-energy correction for the hydrogen atom with $10^{-4}$ relative uncertainty. Calculations in the Coulomb gauge are also presented, improving the precision to $10^{-5}$. Present limitations and possible improvements of our method are discussed.
