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arXiv 1608.04322physics.atom-ph
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含$Zα>1$类氢原子QED效应中的微扰性与非微扰性

Perturbativity vs non-perturbativity in QED-effects for H-like atoms with $Zα>1$

A. A. Roenko, K. A. Sveshnikov

备注：
15 pages, 6 figures. The paper has been significantly redesigned in comparison with the previous version
发表信息：
Int. J. Mod. Phys. A 32, 1750130 (2017)
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摘要：

在考虑电子波函数（WF）对$Zα$的完全依赖性的情况下，研究了具有$Zα>1$的超重类氢原子中，由在小距离$ \ll 1/m$处动态屏蔽的电子磁异常（AMM）与原子核库仑场的相互作用$ΔU_{AMM}$引起的下连续谱阈值附近的能级行为.结果表明，将$ΔU_{AMM}$看作均匀带电扩展库仑源，通过夸克结构和整个原子核计算$ΔU_{AMM}$的贡献，得到的结果在可接受的计算精度范围内是一致的。结果还表明，在相应的狄拉克方程（DE）中，考虑$ΔU_{AMM}$的贡献的微扰和非微扰方法之间的结果出现了一些差异，后者更有利。此外，$ΔU_{AMM}$的贡献的增长率在$ Z \sim 140-150$处达到其最大值，而通过进一步增加$Z$进入超临界区域$Z\gg Z_{cr,1}$，由$ΔU_{AMM}$引起的在较低连续区附近的能级移动单调地减小到零。最后的结果被推广到整个自能贡献的水平移动，从而与虚光子交换附近的低连续辐射QED效应的可能行为。

英文摘要：

The behavior of levels near the threshold of the lower continuum in superheavy H-like atoms with $Zα>1$, caused by the interaction $ΔU_{AMM}$ of the electron's magnetic anomaly (AMM) dynamically screened at small distances $ \ll 1/m$, with the Coulomb field of atomic nucleus is considered by taking into account the complete dependence of electron's wavefunction (WF) on $Zα$. It is shown that the calculation of the contribution caused by $ΔU_{AMM}$ via both the quark structure and the whole nucleus, considered as a uniformly charged extended Coulomb source, leads to results, which coincide within the accepted precision of calculations. It is shown also that there appears some difference in results between perturbative and non-perturbative methods of accounting for the contribution from $ΔU_{AMM}$ within the corresponding Dirac equation (DE) in favor of the latter. Moreover, the growth rate of the contribution from $ΔU_{AMM}$ reaches its maximum at $ Z \sim 140-150$, while by further increase of $Z$ into the supercritical region $Z\gg Z_{cr,1}$ the shift of levels caused by $ΔU_{AMM}$ near the lower continuum decreases monotonically to zero. The last result is generalized to the whole self-energy contribution to the shift of levels and so to the possible behavior of radiative QED-effects with virtual photon exchange near the lower continuum.

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。

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