论文标题
对原子能水平的耐水真空校正
Hadronic vacuum polarization correction to atomic energy levels
论文作者
论文摘要
由于氢化离子和muonic氢而以半经验的方式评估了由于辐射真空极化引起的原子能水平的变化。从$ e^-e^+$ nihihation nihihihation中获得的一个参数性辐射极化函数，用于推导有效的相对论UEHLING潜力。使用分析狄拉克 - 库仑波函数计算出源自腺真空极化的能量校正，并计算出低洼水平，以及构成有限核大小的结合波函数。在点状核的情况下，延伸核的HADRONIC UEHLIN潜能以及相对论的能量移位的封闭公式被得出。将这些结果与非相关理论的现有分析公式进行了比较。
The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections of $e^-e^+$ annihilation into hadrons is applied to derive an effective relativistic Uehling potential. The energy corrections originating from hadronic vacuum polarization are calculated for low-lying levels using analytical Dirac-Coulomb wave functions, as well as bound wave functions accounting for the finite nuclear size. Closed formulas for the hadronic Uehling potential of an extended nucleus as well as for the relativistic energy shift in case of a point-like nucleus are derived. These results are compared to existing analytic formulas from non-relativistic theory.
