超核的伽莫夫壳模型描述
Gamow shell model description of the hypernuclei
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中文总结 AI 辅助
本研究将伽莫夫壳模型应用于p壳层超核，利用含优化两体相互作用的统一框架重现并预测超核的结合能等性质，为扩展模型至更重及多奇异超核奠定基础。
中文摘要 AI 辅助
超核物理研究重子相互作用与奇特原子核的结构，其中奇异数在致密物质中起关键作用。高分辨率γ射线光谱学（如BNL/KEK的Hyperball）及即将投入使用的装置（J-PARC、JLab）已提供p壳层超核的精确数据，对YN势形成约束。我们将伽莫夫壳模型应用于p壳层超核，系统研究ΛN相互作用及其组分的作用，以及其如何影响核子的平均场。伽莫夫壳模型通过用Berggren系综取代简谐子基，平等处理束缚态、共振态与连续态，扩展了标准壳模型。有效哈密顿量包含Woods-Saxon核心势及针对实验数据优化的两体相互作用（中心、自旋-轨道、张量）。我们使用同一ΛN相互作用，重现并预测了从⁵_ΛHe到¹⁶_ΛO的超核的结合能、激发谱与密度。张量力显著影响束缚系统的激发态分裂，而由于连续态耦合，其在未束缚情形中的效应被抑制。伽莫夫壳模型为超核提供了统一框架，可捕捉束缚态、共振态与连续态间的相互作用，本工作为将该模型扩展至更重及多奇异系统奠定了基础。
英文摘要
Hypernuclear physics studies baryon interactions and the structure of exotic atomic nuclei, where strangeness plays a key role in dense matter. High-resolution $γ$-ray spectroscopy (e.g., Hyperball at BNL/KEK) and upcoming facilities (J-PARC, JLab) have provided precise data on $p$-shell hypernuclei, constraining $YN$ potentials. We applied the Gamow shell model to $p$-shell hypernuclei to systematically investigate the role of the $ΛN$ interaction and its components, and how it affects the mean field of nucleons. The Gamow shell model extends the standard shell model by replacing the harmonic oscillator basis with the Berggren ensemble, treating bound, resonant, and continuum states on equal footing. The effective Hamiltonian includes Woods-Saxon core potentials and two-body interactions (central, spin-orbit, tensor) optimized to experimental data. Our calculations reproduce and predict binding energies, excitation spectra, and densities for hypernuclei from ${}^{5}_Λ\mathrm{He}$ to ${}^{16}_Λ\mathrm{O}$ using the same $ΛN$ interaction. The tensor force significantly impacts excited-state splittings in bound systems, while its effect is suppressed in unbound cases due to the continuum coupling. The Gamow shell model provides a unified framework for hypernuclei, capturing the interplay between bound, resonant, and continuum states. This work lays the foundation for extending the model to heavier and multi-strange systems.
