论文标题
真空极化和有限的核大小影响氢样离子的两光子衰变
Vacuum polarization and finite nuclear size effects in the two-photon decay of hydrogen-like ions
论文作者
论文摘要
使用相对论量子电动力学研究了氢样离子的总两光子衰减速率。特别是,我们分析有限的核大小和QED真空极化校正如何影响衰减速率。为了计算这些校正,使用基于$ b $ splines的有限基集方法用于生成准完整的原子光谱以及相对论绿色的功能。通过使用这种$ b $ -SPLINE方法,已经对$ 2S_ {1/2} \至1S_ {1/2} +2γ$和$ 2P_ {1/2} \ to 1s_ {1/2} \ 1S_ {1/2} +2γ$ decAY沿全isoelectronic sequerceScordecorceScordecorsecome进行了高精度计算。这些计算的结果表明,对于$ 2S_ {1/2} \ to 1s_ {1/2} +2γ$转换而言,QED和有限的核大小效应均相对较弱。相反,对于$ 2P_ {1/2} \至1S_ {1/2} +2γ$衰减的$ 2P_ {1/2} \ tos,它们更为明显,在此,由于有限的核大小,衰减速率降低了0.484%,并且由于液泡的极度化而增长了0.239%,因此衰减率降低了0.484%。
The total two-photon decay rate of hydrogen-like ions is studied using relativistic quantum electrodynamics. In particular, we analyse how finite nuclear size and QED vacuum polarization corrections affect the decay rate. To calculate these corrections, a finite basis set method based on $B$-splines is used for the generation of quasi-complete atomic spectra and, hence, of the relativistic Green's function. By making use of this $B$-spline approach, high precision calculations have been performed for the $2s_{1/2} \to 1s_{1/2} + 2γ$ and $2p_{1/2} \to 1s_{1/2} + 2γ$ decay of hydrogen-like ions along the entire isoelectronic sequence. The results of these calculations show that both, QED and finite nuclear size effects, are comparatively weak for the $2s_{1/2} \to 1s_{1/2} + 2γ$ transition. In contrast, they are much more pronounced for the $2p_{1/2}\to 1s_{1/2} + 2γ$ decay, where, for hydrogen-like Uranium, the decay rate is reduced by 0.484% due to the finite nuclear size and enhanced by 0.239% if the vacuum polarization is taken into account.