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arXiv 1507.08033physics.atom-ph
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临界电荷下双电子原子的共振

Resonances in two-electron atoms below the critical charge

Jean-Philippe Karr

摘要:

类氦原子至少有一个束缚态所需的临界核电荷Zc,最近从变分计算中得到了高精度的确定。波函数的分析进一步表明,当Z越过临界值时,束缚态平滑地变为形状共振。利用变分计算结合复坐标旋转方法,我们研究了Z \textless{} Zc的共振能量和共振宽度,从而为这一假设的有效性提供了直接的证据.共振宽度随Z的变化与1/Z微扰级数分析得到的模型吻合得很好。

英文摘要:

The critical nuclear charge Zc required for a heliumlike atom to have at least one bound state was recently determined with high accuracy from variational calculations. Analysis of the wave functions further suggested that the bound state changes smoothly into a shape resonance as Z crosses the critical value. Using variational calculations combined with the complex coordinate rotation method, we study the energy and width of the resonance for Z \textless{} Zc, thus providing direct evidence of the validity of this hypothesis. The variation of the resonance width with Z is found to be in good agreement with a model derived from analysis of the 1/Z perturbation series.

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