论文标题
超高元素的模型QED操作员
Model-QED operator for superheavy elements
论文作者
论文摘要
模型QED操作员方法[Phys。 Rev. A 88，012513（2013）]对原子系统中结合和过渡能的辐射校正的计算扩展到核电范围$ 110 \ leqslant Z \ leqslant 170 $。模型运算符的自能量部分由基于dirac-coulomb波函数的自动能源运算符的对角线和非对角矩阵元素的非局部电势表示。真空极化部分由Uehling贡献组成，该贡献很容易计算出用于任意核电分布的分布，而Wichmann-Kroll贡献的贡献与矩阵元素表示与自动能量部分相似。通过将模型 - QED - 操作器预测与从头算计算的结果进行比较，研究了该方法的性能。可以根据狄拉克 - 库仑双重的汉密尔顿人的数值方法方便地将模型的运算符纳入任何数值方法，以说明各种超重元素的QED效果。
The model-QED-operator approach [Phys. Rev. A 88, 012513 (2013)] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges $110 \leqslant Z \leqslant 170$. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. Performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.
