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arXiv 2102.00638nucl-th
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$^5$ He核张量优化反对称分子动力学的连续变分方法

Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the $^5$He nucleus

Takayuki Myo, Mengjiao Lyu, Hiroshi Toki, Hisashi Horiuchi

摘要:

在张量优化的反对称化分子动力学(TOAMD)中,利用裸核子-核子相互作用,在没有任何重整化的情况下,对作为第一个$p$壳层核的$^5$ He进行变分研究.在TOAMD中,中心关联算符和张量关联算符将AMD的高斯波函数提升到一个复杂的多体态,包括与高动量核子对的短程关联和张量关联。我们开发了一个连续的方法,通过连续应用这些运营商的双相关运营商得到收敛的结果。我们对$^5$ He不仅对基态而且对激发态都得到了满意的结果,并明确地讨论了各态的关联哈密顿分量。我们还显示了独立优化的关联函数的总能量的变化的重要性,超出了假设常见的相关形式中使用的Jastrow方法的条件。

英文摘要:

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.

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