从头算波函数的自旋轨道分解
Spin-orbit decomposition of ab initio wavefunctions
摘要：
虽然现代原子核的壳模型图像是从具有良好总角动量$j$的单粒子轨道建立的，导致$j$ - $j$耦合，但几十年前的唯象模型建议，对于$0p$ -壳核素，可以通过总自旋$S$和总角动量$L$的耦合来实现更简单的图像。我用现代\textit{ab initio}两体相互作用的大基无核壳模型（NCSM）计算重新审视了这一想法，并将所得波函数分解为$L$和$S$分量。值得注意的是，使用现象学的科恩-库拉斯力的计算有广泛的一致性，尽管有近50年的差距和6个数量级的基础尺寸。我认为$L$ - $S$可能是分析轻核\textit{ab initio}波函数的有用工具，例如在转动带的情况下。
英文摘要：
Although the modern shell-model picture of atomic nuclei is built from single-particle orbits with good total angular momentum $j$, leading to $j$-$j$ coupling, phenomenological models suggested decades ago that for $0p$-shell nuclides a simpler picture can be realized via coupling of total spin $S$ and total orbital angular momentum $L$. I revisit this idea with large-basis, no-core shell model (NCSM) calculations using modern \textit{ab initio} two-body interactions, and dissect the resulting wavefunctions into their component $L$- and $S$-components. Remarkably, there is broad agreement with calculations using the phenomenological Cohen-Kurath forces, despite a gap of nearly fifty years and six orders of magnitude in basis dimensions. I suggest $L$-$S$ may be a useful tool for analyzing \textit{ab initio} wavefunctions of light nuclei, for example in the case of rotational bands.
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