低能级离散本征态下Dirac单电子原子的核磁屏蔽常数
Nuclear magnetic shielding constants of Dirac one-electron atoms in some low-lying discrete energy eigenstates
摘要：
本文给出了狄拉克单电子原子与点状、静止、无自旋荷核$Ze$的核磁屏蔽常数（$σ$）的列表数据。利用我们导出的适用于任意离散能量本征态的\mbox{[P. Stefa{ń}ska, Phys. Rev. A. 94 (2016) 012508/1-15],}的精确通用解析公式，计算了基态和第一、第二组激发态的磁屏蔽因子的数值，即：2s $_{1/2}$、2p $_{1/2}$、2p $_{3/2}$、3s $_{1/2}$、3p $_{1/2}$、3p $_{3/2}$、3d $_{3/2}$和3d $_{5/2}$，其核电荷数在$1 \leqslant Z \leqslant 137$范围内。对某些原子态，我们的结果与其他作者报道的数值进行了比较。
英文摘要：
We present tabulated data for the nuclear magnetic shielding constants ($σ$) of the Dirac one-electron atoms with a pointlike, motionless and spinless nucleus of charge $Ze$. Utilizing the exact general analytical formula for $σ$ derived by us \mbox{[P. Stefa{ń}ska, Phys. Rev. A. 94 (2016) 012508/1-15],} valid for an arbitrary discrete energy eigenstate, we have computed the numerical values of the magnetic shielding factors 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 relativistic hydrogenic ions with the nuclear charge numbers from the range $1 \leqslant Z \leqslant 137$. The comparisons of our results with the numerical values reported by other authors for some atomic states are also presented.
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