相对论类氢原子在任意离散能量本征态下的磁化率
Magnetizabilities of relativistic hydrogenlike atoms in some arbitrary discrete energy eigenstates
摘要：
本文给出了相对论性单电子原子与无自旋、静止的点状电荷核$Ze$的磁化率（$χ$）的数值计算结果。利用我们最近导出的$χ$的分析公式[P. Stefa{ESTA}ska，2015]，对任意离散能量本征态有效，我们已经找到了基态以及第一和第二组激发态的磁化率值（即：$2s_{1/2}$、$2p_{1/2}$、$2p_{3/2}$、$3s_{1/2}$、$3p_{1/2}$、$3p_{3/2}$、$3d_{3/2}$和$3d_{5/2}$）。原子序数为$1 \leqslant Z \leqslant 137$的离子的结果见14个表。比较基态和属于所选类氢离子的第一组激发态的每个状态的磁化率的数值，使用两个不同的精细结构常数值获得，即：还介绍了$α^{-1}=137.035 999 139$（CODATA 2014）和$α^{-1}=137.035 999 074$（CODATA 2010）。
英文摘要：
We present the results of numerical calculations of magnetizability ($χ$) of the relativistic one-electron atoms with a pointlike, spinless and motionless nuclei of charge $Ze$. Exploiting the analytical formula for $χ$ recently derived by us [P. Stefa{ń}ska, 2015], valid for an arbitrary discrete energy eigenstate, we have found the values of the magnetizability for the ground state and for the first and the second set of excited states (i.e.: $2s_{1/2}$, $2p_{1/2}$, $2p_{3/2}$, $3s_{1/2}$, $3p_{1/2}$, $3p_{3/2}$, $3d_{3/2}$, and $3d_{5/2}$) of the Dirac one-electron atom. The results for ions with the atomic number $1 \leqslant Z \leqslant 137$ are given in 14 tables. The comparison of the numerical values of magnetizabilities for the ground state and for each states belonging to the first set of excited states of selected hydrogenlike ions, obtained with the use of two different values of the fine-structure constant, i.e.: $α^{-1}=137.035 999 139$ (CODATA 2014) and $α^{-1}=137.035 999 074$ (CODATA 2010), is also presented.
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