arXiv 2209.004632022-09-01physics.atom-ph

超重元素的模型QED算符

Model-QED operator for superheavy elements

A. V. Malyshev, D. A. Glazov, V. M. Shabaev, I. I. Tupitsyn, V. A. Yerokhin, V. A. Zaytsev

备注：: 14 pages, 2 figures, 15 tables
发表信息：: Phys. Rev. A 106, 012806 (2022)
DOI：: 10.1103/PhysRevA.106.012806

摘要：

模型-QED-算子方法[Phys. Rev. A 88，012513（2013）]用于计算原子系统中结合能和跃迁能的辐射修正，扩展到核电荷$110 \leqslant Z \leqslant 170$的范围。模型算子的自能部分由一个基于对角和非对角矩阵元的从头算自能算子与狄拉克-库仑波函数的非局部势表示。真空极化部分由Uehling贡献，这是很容易计算的任意核电荷分布和Wichmann-Kroll贡献表示的矩阵元素类似的自能部分。该方法的性能进行了研究，通过比较模型QED算子的预测与从头计算的结果。模型-QED算符可以方便地结合到任何基于Dirac-Coulomb-Breit哈密顿量的数值方法中，以解释各种超重元素的QED效应。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文