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arXiv 2102.01025nucl-th
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与从头算核子-核弹性散射有关的核自旋特征

Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering

R. B. Baker, M. Burrows, Ch. Elster, K. D. Launey, P. Maris, G. Popa, S. P. Weppner

摘要:

背景资料:从第一性原理出发的核子-核子弹性散射的有效相互作用要求在结构和反应计算中使用相同的核子-核子相互作用,以及在每个阶次对相关算子的一致处理。目的:以前的工作使用这些相互作用已经显示出良好的协议与现有数据。在这里,我们研究这些运营商之一的物理相关性,这涉及到打击核子的自旋,并检查这个数量的解释在原子核结构的上下文中。研究方法:利用旁观者展开的框架和无核壳模型的基本框架,我们计算和研究自旋投影,在$J=0$核态的有效核子-核相互作用所需的单体动量分布。结果如下:计算得到的$^4$ He、$^6$ He和$^8$ He的自旋投影单体动量分布显示出基于质子和中子在单粒子能级中占据的特征行为,其中一种类型的核子越多,产生的动量分布值越大。此外,我们发现这个量是强相关的磁矩的$2^+$激发态在基态转动带为每个核考虑。结论:我们发现自旋投影的单体动量分布可以探测$J=0$波函数的自旋内容。这一特征可能允许未来的\textit{ab initio}核子-核散射研究告知潜在的核子-核子相互作用的自旋性质。所观察到的相关性的磁矩的激发态说明了一个以前未知的连接之间的反应观测值,如分析功率和结构观测值,如磁矩。

英文摘要:

Background: Effective interactions for elastic nucleon-nucleus scattering from first principles require the use of the same nucleon-nucleon interaction in the structure and reaction calculations, as well as a consistent treatment of the relevant operators at each order. Purpose: Previous work using these interactions has shown good agreement with available data. Here, we study the physical relevance of one of these operators, which involves the spin of the struck nucleon, and examine the interpretation of this quantity in a nuclear structure context. Methods: Using the framework of the spectator expansion and the underlying framework of the no-core shell model, we calculate and examine spin-projected, one-body momentum distributions required for effective nucleon-nucleus interactions in $J=0$ nuclear states. Results: The calculated spin-projected, one-body momentum distributions for $^4$He, $^6$He, and $^8$He display characteristic behavior based on the occupation of protons and neutrons in single particle levels, with more nucleons of one type yielding momentum distributions with larger values. Additionally, we find this quantity is strongly correlated to the magnetic moment of the $2^+$ excited state in the ground state rotational band for each nucleus considered. Conclusions: We find that spin-projected, one-body momentum distributions can probe the spin content of a $J=0$ wave function. This feature may allow future \textit{ab initio} nucleon-nucleus scattering studies to inform spin properties of the underlying nucleon-nucleon interactions. The observed correlation to the magnetic moment of excited states illustrates a previously unknown connection between reaction observables such as the analyzing power and structure observables like the magnetic moment.

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