形变晕核中非球形 Pauli 禁戒态：对粒子转子模型中 ${}^7\mathrm{Be}+p$ 共振态的影响
Nonspherical Pauli-forbidden states in deformed halo nuclei: Impact on the ${}^7\mathrm{Be}+p$ resonant states in the particle rotor model
AI总结：
提出利用 Nilsson 态作为正交条件模型中的 Pauli 禁戒态的新方法，在粒子转子模型框架内研究形变晕核 ${}^8\mathrm{B}$ 的散射态，成功重现弹性散射实验激发函数并预测了低能隆起，扩展了 PRM 的适用性。
摘要：
背景：将核多体问题简化为少体模型的一个重要方面是存在 Pauli 禁戒（PF）态，这些态在全反对称化计算中被排除。对形变晕核中 PF 态的处理不足凸显了模型改进的必要性。目的：我们提出一种新方法，利用 Nilsson 态作为正交条件模型中的 PF 态，并研究 PF 态对共振态性质的影响。方法：我们在基于形变 ${}^7\mathrm{Be}$ 核与 $p$ 两体模型的粒子转子模型（PRM）框架内，研究 ${}^8\mathrm{B}$ 的散射态。我们比较了几种消除 PF 态的方法，并用实验数据进行了测试。结果：我们的模型通过正确消除 PF 态，成功重现了弹性散射截面的实验激发函数。相同的计算预测在非弹性散射激发函数中存在一个低能隆起，尽管其位置比实验数据高估了约 1 MeV。结论：本研究扩展了 PRM 的适用性，为探索像 ${}^8$B 这样的弱束缚核的结构和反应提供了一种综合方法。未来与连续离散化耦合通道（CDCC）方法的整合有望进一步推进该研究。
英文摘要：
Background: An important aspect of reducing nuclear many-body problems to few-body models is the presence of Pauli forbidden (PF) states, which are excluded in fully antisymmetrized calculations. Insufficient treatments of PF states in deformed halo nuclei underscore the need for model refinement. Purpose: We propose a new method utilizing Nilsson states as PF states in the orthogonality condition model, and investigate the impact of PF states on the properties of resonant states. Method: We investigate the scattering states of ${}^8\mathrm{B}$ within the Particle Rotor Model (PRM) framework based on a deformed ${}^7\mathrm{Be}$ core and $p$ two-body model. We compare several methods for eliminating PF states and test them with the experimental data. Results: Our model successfully reproduces the experimental excitation function for elastic scattering cross section by properly eliminating PF states. The same calculation predicts the presence of a low-energy bump in the inelastic scattering excitation function, although its position is overestimated by about 1 MeV compared to experimental data. Conclusion: This study extends the applicability of the PRM, offering a comprehensive approach for exploring structures and reactions of loosely bound nuclei like ${}^8$B. Future integration with the continuum discretized coupled channels (CDCC) method promises to further advance the research.
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