Korobov Vladimir I, Hilico L, Karr J-Ph
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia.
Laboratoire Kastler Brossel, UPMC-Université Paris 6, ENS, CNRS, Collège de France 4 place Jussieu, F-75005 Paris, France and Université d'Evry-Val d'Essonne, Boulevard François Mitterrand, F-91000 Evry, France.
Phys Rev Lett. 2017 Jun 9;118(23):233001. doi: 10.1103/PhysRevLett.118.233001. Epub 2017 Jun 8.
We calculate ionization energies and fundamental vibrational transitions for H_{2}^{+}, D_{2}^{+}, and HD^{+} molecular ions. The nonrelativistic quantum electrodynamics expansion for the energy in terms of the fine structure constant α is used. Previous calculations of orders mα^{6} and mα^{7} are improved by including second-order contributions due to the vibrational motion of nuclei. Furthermore, we evaluate the largest corrections at the order mα^{8}. That allows us to reduce the fractional uncertainty to the level of 7.6×10^{-12} for fundamental transitions and to 4.5×10^{-12} for the ionization energies.
我们计算了H₂⁺、D₂⁺和HD⁺分子离子的电离能和基本振动跃迁。使用了以精细结构常数α表示的能量的非相对论量子电动力学展开式。通过纳入由于原子核振动运动产生的二阶贡献，改进了之前mα⁶和mα⁷阶的计算。此外，我们评估了mα⁸阶的最大修正。这使我们能够将基本跃迁的分数不确定度降低到7.6×10⁻¹²的水平，将电离能的分数不确定度降低到4.5×10⁻¹²的水平。
