The electric multipole polarizabilities of one-electron atoms embedded in weakly coupled Debye plasmas are calculated in the non-relativistic framework. The static dipole, quadrupole, octopole, and hexadecapole polarizabilities for hydrogen atoms in both ground and excited states at a variety of Debye screening parameters are calculated in high precision based on the sum-over-states method, where the system bound and continuum states are produced by employing the generalized pseudospectral method. It is shown that the contribution of bound states to the polarizability decreases with increasing the plasma screening strength, whereas the contribution of continuum states is enhanced. At very small screening parameters where the plasma environment starts to take effect, it is found that the 2 l -pole polarizability for s -wave states with principle quantum number n ≥ l + 1 has an abrupt change from its non-screening value to infinity. We attribute such a phenomenon to the sudden non-degeneracy of different angular momentum states in the n shell. With continuously increasing the screening strength, the polarizabilities for n ≥ l + 1 states decrease to certain values and, eventually, they approach to infinity at the critical screening parameter. For states with n ≤ l, the 2 l -pole polarizabilities show regular enhancement from the non-screening value to infinity. The present results are compared with other theoretical calculations available in the literature and it is shown that our work has established by now the most accurate predictions of multipole oscillator strengths and polarizabilities for one-electron atoms in Debye plasmas.

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德拜等离子体中单电子原子多极极化率的精确计算

在非相对论框架中计算嵌入弱耦合德拜等离子体中的单电子原子的电多极极化率。基态和激发态氢原子在各种德拜筛选参数下的静态偶极子、四极子、八极子和十六极子极化率是基于状态总和方法高精度计算的，其中系统束缚态和连续态是使用广义伪谱方法产生。结果表明，束缚态对极化率的贡献随着等离子体屏蔽强度的增加而减小，而连续态的贡献增强。在等离子体环境开始生效的非常小的筛选参数下，发现主量子数n≥l+1的s波态的2l极极化率从非屏蔽值突变到无穷大。我们将这种现象归因于 n 壳中不同角动量状态的突然非简并。随着屏蔽强度的不断增加，n ≥ l + 1 态的极化率下降到一定值，最终在临界屏蔽参数处接近无穷大。对于 n ≤ l 的状态，2 l 极极化率显示从非屏蔽值到无穷大的规律增强。