Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations, these formulas are employed to reanalyse experimental data on the nuclear-charge-distribution parameters in $^{238}\textrm{U}$ and to revise the nuclear-size corrections to the binding energies in H- and Li-like $^{238}\textrm{U}$. As a result, the theoretical uncertainties for the ground-state Lamb shift in $^{238}\textrm{U}^{91+}$ and for the $2p_{1/2}-2s$ transition energy in $^{238}\textrm{U}^{89+}$ are significantly reduced. The isotope shift of the $2p_{j}-2s$ transition energies for $^{142}\textrm{Nd}^{57+}$ and $^{150}\textrm{Nd}^{57+}$ is also evaluated including nuclear size and nuclear recoil effects within a full QED treatment.
Relativistic correlation correction to the binding energies of the ground configuration of Beryllium-like, Neon-like, Magnesium-like and Argon-like ions
Nuclear recoil effect on the binding energies in highly charged He-like ions
在$Z=12-100$范围内给出了迄今为止对类氦离子的$n=1$和$n=2$能级的核反冲效应的最精确的评估。在严格的QED方法的框架内计算的一个电子反冲的贡献，以一阶的电子与核的质量比$m/M$和所有的订单参数$αZ$。采用$1/Z$微扰理论计算了双电子$m/M$反冲项。在$1/Z$中的零阶反冲贡献被评估到$αZ$中的所有阶，而$1/Z$项使用Breit近似计算。在非相对论方法中考虑了$1/Z$中二阶和高阶的反冲修正。所得结果与以前对这种效应的评价进行了比较[A. N. Artemyev等人，A 71，062104（2005）]。
On the weakly-bound (1,1)-states in the three-body $d d μ$ and $d t μ$ muonic ions
本文用高精度的数值方法计算了弱束缚三体μ子$d d μ$和$d t μ$离子（1，1）态的总能量和结合能。在μ子$d t μ$离子中，（1，1）态的结合能计算为$\varepsilon(d t μ)$ =-0.66033003831（30）$eV$，而对于μ子$d d μ$离子中的相同状态，我们发现$\varepsilon(d d μ)$ =-1.9749806166970（30）$eV$。这些能量是这些系统获得的最准确的数值，它们足以满足所有当前和未来的实验需要。
Binding Energy of Muonic Beryllium: Perturbative versus All--Order Calculations
Technion–Israel Institute of Technology（以色列理工学院）；Missouri University of Science and Technology（密苏里科技大学）；Sorbonne Université（索邦大学）；CNRS（法国国家科学研究中心）；ENS-PSL Research University（巴黎文理研究大学）；Collège de France（法兰西公学院）
