We propose a new approach to probe the spatial extension of the valence neutron orbital in the ⁹Be nucleus via the ⁹Be($p,pn$)⁸Be knockout reaction. This property of the nuclear molecular orbital has not been established in previous experimental studies and divergence exists between the theoretical descriptions of ⁹Be from different perspectives, i.e., the antisymmetrized molecular dynamics and the container pictures of cluster dynamics. These pictures are represented by two different well-proven microscopic models, the antisymmetrized molecular dynamics (AMD) and Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave functions. The corresponding reduced width amplitudes (RWAs) in the ⁸Be+n channel are extracted from both the AMD and THSR wave functions, and they are found to describe drastically different valence-nucleon motion, which shows the theoretical ambiguity in describing the π-orbitals in ⁹Be. Using the RWAs as input, the physical observables of the ⁹Be($p,pn$)⁸Be knockout reaction are predicted by the distorted-wave impulse approximation (DWIA) framework. The magnitudes of the triple-differential cross sections (TDX) are found to be highly sensitive to the RWA input. It is concluded that the ⁹Be($p,pn$)⁸Be knockout reaction could provide a feasible probing for the subtle differences between several structure models manifesting through the spatial extension of the π-orbital in the ⁹Be nucleus.

我们提出了一个新的方法来探测中子价的空间延伸的轨道^9个铍原子核通过⁹ BE（$磷,磷n$) ^{8 是}敲除反应。核分子轨​​道的这种性质在以往的实验研究中尚未建立，⁹ Be的理论描述从不同的角度，即反对称分子动力学和簇动力学的容器图，存在分歧。这些图片由两个不同的经过充分证明的微观模型表示，即反对称分子动力学 (AMD) 和 Tohsaki-Horiuchi-Schuck-Röpke (THSR) 波函数。⁸ Be+ n 中相应的缩减宽度幅度 (RWA)通道是从 AMD 和 THSR 波函数中提取的，并且发现它们描述了截然不同的价核子运动，这显示了描述⁹ Be 中π轨道的理论模糊性。使用 RWA 作为输入，⁹ Be($磷,磷n$) ⁸ Be 敲除反应由失真波脉冲近似 (DWIA) 框架预测。发现三重差分横截面 (TDX) 的大小对 RWA 输入高度敏感。得出的结论是⁹ Be($磷,磷n$) ⁸ Be 敲除反应可以为通过⁹ Be 核中π轨道的空间延伸表现出的几种结构模型之间的细微差异提供可行的探测。