Abstract

The multipole polarizabilities for hydrogen-like atoms with Hulthén potential are calculated with the sum-over-states formalism where the system bound and pseudocontinuum states are produced by employing the generalized pseudospectral method. Energies for nonzero angular momentum states, transition oscillator strengths, and dipole polarizabilities for the ground state of H atom with HP are calculated with high accuracy and compared with previous calculations. Quadrupole, octupole, and hexadecapole polarizabilities for both the ground and excited states are reported for the first time. The combined effect of Hulthén potential and impenetrable sphere on the polarizabilities is investigated, and the relation of such system with the confined H atom and particle in a box is discussed. Further comparison among Hulthén, screened Coulomb, and exponential cosine screened Coulomb potentials reveals that although the ground state energies follow the comparison theorem very well, their first-order energy corrections show complicated variations.

Graphic abstract

中文翻译：

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有和没有球形约束的Hulthén势中类氢原子的多极极化率

摘要

用总和态形式主义计算具有Hulthén势的类氢原子的多极极化率，其中系统束缚态和伪连续谱态是采用广义伪谱方法产生的。非零角动量态的能量，跃迁振荡器强度以及H原子与HP的基态的偶极极化率的计算精度很高，并与先前的计算结果进行了比较。首次报道了基态和激发态的四极，八极和十六极极化率。研究了Hulthén势和不可穿透的球体对极化率的综合影响，并讨论了该系统与盒子中受限的H原子和粒子之间的关系。赫尔滕（Hulthén），已筛选的库伦（Coulomb）

图形摘要