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Spin-orbit decomposition of ab initio nuclear wave functions

2015; American Institute of Physics; Volume: 91; Issue: 3 Linguagem: Inglês

10.1103/physrevc.91.034313

1538-4497

Calvin Johnson,

Quantum Chromodynamics and Particle Interactions

Although the modern shell-model picture of atomic nuclei is built from single-particle orbits with good total angular momentum $j$, leading to $j\ensuremath{-}j$ coupling, decades ago phenomenological models suggested that a simpler picture for $0p$-shell nuclides can be realized via coupling of the total spin $S$ and total orbital angular momentum $L$. I revisit this idea with large-basis, no-core shell-model calculations using modern ab initio two-body interactions and dissect the resulting wave functions 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 50 years and six orders of magnitude in basis dimensions. I suggest that $L\ensuremath{-}S$ decomposition may be a useful tool for analyzing ab initio wave functions of light nuclei, for example, in the case of rotational bands.