Wigner-Wilkins中子/核散射核的量子力学推导
Wigner-Wilkins neutron/nucleus scattering kernel quantum-mechanically derived
摘要：
本文从量子力学的自足计算出发，导出了中子热化理论的基石--Wigner-Wilkins [W-W]中子/核散射核。实际上，W-W核的量子力学推导可以在下面引用的文献中找到，但在我们看来，它被过分的一般性所剥夺。在这里，相比之下，我们继续沿着一个独立的路线依赖于费米赝势和一阶项的时间依赖玻恩近似系列。我们的计算是完全明确的每一步，特别是，我们在其每一个细节处理的最后整合，其结果只是在现有的文献。此外，也许是最重要的一点，我们证明了量子力学的W-W核结果与它的经典前件是完全相同的，经典不仅是由于历史的优先性，而且是基于经典牛顿力学。
英文摘要：
We undertake herein to derive the Wigner-Wilkins [W-W] neutron/nucleus scattering kernel, a foundation stone in neutron thermalization theory, on the basis of a self-contained calculation in quantum mechanics. Indeed, a quantum-mechanical derivation of the W-W kernel is available in the literature, cited below, but it is, in our opinion, robbed of conviction by being couched in terms of an excessive generality. Here, by contrast, we proceed along a self-contained route relying on the Fermi pseudopotential and a first-order term in a time-dependent Born approximation series. Our calculations are fully explicit at every step and, in particular, we tackle in its every detail a final integration whose result is merely stated in the available literature. Furthermore, and perhaps the most important point of all, we demonstrate that the quantum-mechanical W-W kernel outcome is identical down to the last iota with its classical antecedent, classical not only by virtue of historical precedence but also by being based on classical Newtonian mechanics.
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