We study $^5$He variationally as the first $p$-shell nucleus in the tensor-optimized antisymmetrized molecular dynamics (TOAMD) using the bare nucleon–nucleon interaction without any renormalization. In TOAMD, the central and tensor correlation operators promote the AMD’s Gaussian wave function to a sophisticated many-body state including the short-range and tensor correlations with high-momentum nucleon pairs. We develop a successive approach by applying these operators successively with up to double correlation operators to get converging results. We obtain satisfactory results for $^5$He, not only for the ground state but also for the excited state, and discuss explicitly the correlated Hamiltonian components in each state. We also show the importance of the independent optimization of the correlation functions in the variation of the total energy beyond the condition assuming common correlation forms used in the Jastrow approach.

中文翻译：

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5He 核的张量优化反对称分子动力学的连续变分方法

我们使用裸核子-核子相互作用，在没有任何重整化的情况下，将 $^5$He 作为张量优化的反对称分子动力学 (TOAMD) 中的第一个 $p$-shell 核进行变分研究。在 TOAMD 中，中心和张量相关算子将 AMD 的高斯波函数提升为复杂的多体状态，包括与高动量核子对的短程和张量相关。我们通过将这些算子与最多双相关算子连续应用以获得收敛结果来开发一种连续方法。对于$^5$He，我们获得了令人满意的结果，不仅对于基态而且对于激发态，并且明确地讨论了每个状态中相关的哈密顿分量。