The structure of \(^{22}\)C plays a vital role in the new physics at subshell closure of \(N=16\) in the neutron-rich region. We study the two-neutron correlations in the ground state of the weakly-bound Borromean nucleus \(^{22}\)C sitting at the edge of the neutron-drip line and its sensitivity to \(\mathrm{core}\)-n potential. For the present study, we employ a three-body (\(\mathrm{core}+n+n\)) structure model designed for describing the Borromean system by explicit coupling of unbound continuum states of the subsystem (\(\mathrm{core}+n\)). We use a density-independent contact-delta interaction to describe the neutron-neutron interaction and its strength is varied to fix the binding energy. Along with the ground-state properties of \(^{22}\)C, we investigate its electric-dipole and monopole responses, discussing the contribution of various configurations. Our results indicate more configuration mixing as compared to the previous studies in the ground state of \(^{22}\)C. However, they strongly depend upon the choice of the \(^{20}\mathrm{C}\)-n potential as well as the binding energy of \(^{22}\)C, which call for new precise measurements for the low-lying continuum structure of the binary system (\(^{20}\mathrm{C}+n\)) and the mass of \(^{22}\)C. These measurements will be essential to understand the Borromean three-body system \(^{22}\)C with more accuracy.

中文翻译：

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Borromean 中的两个中子相关性 $$\varvec{^{20}\mathrm{C}+n+n}$$ 20 C + n + n 系统：未绑定子系统的灵敏度

\(^{22}\)C 的结构在富中子区 \(N=16\) 的子壳闭合的新物理学中起着至关重要的作用。我们研究了位于中子滴线边缘的弱束缚 Borromean 核 \(^{22}\)C 基态中的两中子相关性及其对 \(\mathrm{core}\) -n 潜力。对于本研究，我们采用三体 (\(\mathrm{core}+n+n\)) 结构模型，旨在通过子系统的未绑定连续状态的显式耦合来描述 Borromean 系统 (\(\mathrm{核心}+n\))。我们使用与密度无关的接触-δ 相互作用来描述中子-中子相互作用，并且其强度是变化的以固定结合能。随着 \(^{22}\)C 的基态特性，我们研究了它的电偶极子和单极子响应，讨论各种配置的贡献。我们的结果表明，与之前在 \(^{22}\)C 基态下的研究相比，更多的配置混合。然而，它们强烈依赖于 \(^{20}\mathrm{C}\)-n 势的选择以及 \(^{22}\)C 的结合能，这需要新的精确测量二元系统的低层连续体结构 (\(^{20}\mathrm{C}+n\)) 和 \(^{22}\)C 的质量。这些测量对于更准确地理解 Borromean 三体系统 \(^{22}\)C 至关重要。这要求对二元系统的低层连续结构 (\(^{20}\mathrm{C}+n\)) 和 \(^{22}\)C 的质量进行新的精确测量。这些测量对于更准确地理解 Borromean 三体系统 \(^{22}\)C 至关重要。这要求对二元系统的低层连续结构 (\(^{20}\mathrm{C}+n\)) 和 \(^{22}\)C 的质量进行新的精确测量。这些测量对于更准确地理解 Borromean 三体系统 \(^{22}\)C 至关重要。