Variational Calculations of Positronium Scattering with Hydrogen
Variational Calculations of Positronium Scattering with Hydrogen
复制标题
正电子素与氢的散射的变分计算
DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
D. Woods
中科院分区：
文献类型：
--
作者：
D. Woods
正电子素-氢（Ps-H）散射是感兴趣的，因为它是一个基本的四体库仑问题。我们已经研究了低能量Ps-H散射低于Ps（n=2）的激发阈值，使用Kohn变分法和变体的方法与审判波函数，包括高度相关的Hylleraas型短程条款。我们给出了一个优雅的形式主义，结合所有科恩型变分方法成一个单一的形式。沿着，我们还开发了一个通用的形式主义科恩型矩阵元素，使我们能够评估任意分波与一个单一的代码库。计算策略，我们已经开发和使用在这项工作中进行了讨论。
用这些方法，我们计算了单重态和三重态的前六个分波的相移。$^{1，3}$S和$^{1，3}$P相移是高度精确的结果，并且可能被视为基准结果。计算了$^1 $S波、$^1 $P波、$^1 $D波和$^1 $F波的共振位置和宽度。
我们提出了弹性集成，弹性微分，动量转移截面使用所有六个分波，并注意到每个有趣的功能。我们使用多个有效范围的理论，包括几个明确考虑到长程货车德瓦尔斯相互作用，调查散射长度和有效范围。
Positronium-hydrogen (Ps-H) scattering is of interest, as it is a fundamental four-body Coulomb problem. We have investigated low-energy Ps-H scattering below the Ps(n=2) excitation threshold using the Kohn variational method and variants of the method with a trial wavefunction that includes highly correlated Hylleraas-type short-range terms. We give an elegant formalism that combines all Kohn-type variational methods into a single form. Along with this, we have also developed a general formalism for Kohn-type matrix elements that allows us to evaluate arbitrary partial waves with a single codebase. Computational strategies we have developed and use in this work are also discussed.
With these methods, we have computed phase shifts for the first six partial waves for both the singlet and triplet states. The $^{1,3}$S and $^{1,3}$P phase shifts are highly accurate results and could potentially be viewed as benchmark results. Resonance positions and widths for the $^1$S-, $^1$P-, $^1$D-, and $^1$F-waves have been calculated.
We present elastic integrated, elastic differential, and momentum transfer cross sections using all six partial waves and note interesting features of each. We use multiple effective range theories, including several that explicitly take into account the long-range van der Waals interaction, to investigate scattering lengths and effective ranges.
影响因子：
19.6
作者：
Andresen, G. B.;Ashkezari, M. D.;Yamazaki, Y.
通讯作者：
Yamazaki, Y.