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arXiv 1802.05422physics.atom-phquant-ph
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束缚体系的高能光电离

Photoionization of the bound systems at high energies

E. G. Drukarev, A. I. Mikhailov

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19 pages
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摘要：

研究了中心势$V(r)$束缚下系统的光电离。我们证明了在不求解波动方程的情况下，可以得到光电离截面的高能非相对论渐近性质。渐近性可以通过采用李普曼-施温格方程用势的傅里叶变换来表示。我们找到了屏蔽库仑场的渐近性。我们证明了这种渐近性的领先的修正所描述的通用因子。高能非相对论渐近性由势$V(r)$的解析性质决定。我们表明，富勒烯的光电离截面的渐近性的能量依赖性是在很大程度上依赖于模型。我们证明了如果富勒烯场$V(r)$在复平面上用具有奇异性的函数来近似，则在能量如此之高以致于截面变得不可观测地小的情况下，渐近性的功率降达到。在这些情况下，截面下降较快的前渐近行为变得很重要。

英文摘要：

We consider photoionization of a system bound by the central potential $V(r)$. We demonstrate that the high energy nonrelativistic asymptotics of the photoionization cross section can be obtained without solving the wave equation. The asymptotics can be expressed in terms of the Fourier transform of the potential by employing the Lippmann--Schwinger equation. We find the asymptotics for the screened Coulomb field. We demonstrate that the leading corrections to this asymptotics are described by the universal factor. The high energy nonrelativistic asymptotics is found to be determined by the analytic properties of the potential $V(r)$. We show that the energy dependence of the asymptotics of photoionization cross sections of fullerenes is to large extent model dependent. We demonstrate that if the fullerene field $V(r)$ is approximated by the function with singularities in the complex plane, the power drop of the asymptotics is reached at the energies which as so high that the cross section becomes unobservably small. The preasymptotic behavior with a faster drop of the cross sections becomes important in these cases.

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