用硬核势计算三体组态空间
Three-Body Configuration Space Calculations with Hard Core Potentials
摘要：
我们提出了一个数学上严格的方法，适用于解决三体束缚态和散射问题时，粒子间的相互作用是一个硬核性质。本文提出的方法是边界条件模型的一种变体，并已用于计算由三个^4He原子组成的系统的结合能。两个现实的他-他的互动阿齐兹和合作者，已被用于这一目的。所获得的结果与以前通过其他方法获得的结果相比是有利的。我们进一步使用该模型来计算，第一次，超低能量散射相移。这项研究表明，我们的方法非常适合于三体分子计算，其中原子间势的实际核心引起了强烈的数值不准确性，使这些分子的计算变得繁琐。
英文摘要：
We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model and it has been employed to calculate the binding energies for a system consisting of three ^4He atoms. Two realistic He-He interactions of Aziz and collaborators, have been used for this purpose. The results obtained compare favorably with those previously obtained by other methods. We further used the model to calculate, for the first time, the ultra-low energy scattering phase shifts. This study revealed that our method is ideally suited for three-body molecular calculations where the practically hard-core of the inter-atomic potential gives rise to strong numerical inaccuracies that make calculations for these molecules cumbersome.
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