论文标题
磁场中的氦气样离子：非扰动相对论方法在轴向对称系统中的应用
Helium-like ions in magnetic field: application of the nonperturbative relativistic method for axially symmetric systems
论文作者
论文摘要
在存在外部轴向对称场的情况下，可以通过使用有限基集施加的双运动量平衡条件来求解的电子束缚的电子方程（A-DKB方法[Rozenbaum等，PhysPhys。Rev.A 89，012514（2014）]）。我们提出了这种方法描述暴露于均匀外部磁场的氦样离子的应用。评估了基态的二阶齐曼移位和核磁屏蔽常数，包括相互作用的主要贡献。通过扰动理论将A-DKB值与直接计算进行比较。核磁屏蔽的结果可以用于准确确定核磁矩。对Zeeman效应的二次贡献可能与氦样离子中过渡能的高精度测量有关。
Dirac equation for an electron bound by a nucleus in the presence of external axially symmetric field can be solved numerically by using the dual-kinetic-balance conditions imposed on the finite basis set (A-DKB method [Rozenbaum et al, Phys. Rev. A 89, 012514 (2014)]). We present the application of this method to describe helium-like ions exposed to homogeneous external magnetic field. The second-order Zeeman shift and the nuclear magnetic shielding constant are evaluated for the ground state, including the leading contribution of the interelectronic interaction. The A-DKB values are compared with the direct calculations by perturbation theory. The results for the nuclear magnetic shielding can serve for accurate determination of the nuclear magnetic moments. The quadratic contribution to the Zeeman effect can be relevant for high-precision measurements of the transition energies in helium-like ions.
