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arXiv physics/0403114physics.atom-phcond-mat.mtrl-sci
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正电子-原子相互作用的多体理论

Many-body theory of positron-atom interactions

G. F. Gribakin, J. Ludlow

摘要:

发展了正电子与原子散射和湮灭问题的多体理论方法。强电子-正电子关联包括非微扰通过计算的电子-正电子顶点函数。它对应于一个无限系列的梯形图的总和,并描述了虚正电子素形成的物理效应。用顶点函数计算了正电子-原子关联势和对电子正电子湮没顶点的非局域修正。数值上,我们利用B样条基组,这确保了快速收敛的总和在中间状态。我们还设计了一个外推程序,允许一个实现收敛的中间状态轨道角动量的数量包括在计算中。作为一个测试,目前的形式主义适用于正电子散射和湮灭的氢,它是准确的。我们的结果与精确变分计算的结果一致。我们还详细研究了湮没顶点的大关联修正的性质。

英文摘要:

A many-body theory approach is developed for the problem of positron-atom scattering and annihilation. Strong electron-positron correlations are included non-perturbatively through the calculation of the electron-positron vertex function. It corresponds to the sum of an infinite series of ladder diagrams, and describes the physical effect of virtual positronium formation. The vertex function is used to calculate the positron-atom correlation potential and nonlocal corrections to the electron-positron annihilation vertex. Numerically, we make use of B-spline basis sets, which ensures rapid convergence of the sums over intermediate states. We have also devised an extrapolation procedure that allows one to achieve convergence with respect to the number of intermediate-state orbital angular momenta included in the calculations. As a test, the present formalism is applied to positron scattering and annihilation on hydrogen, where it is exact. Our results agree with those of accurate variational calculations. We also examine in detail the properties of the large correlation corrections to the annihilation vertex.

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