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从超子 - 核子相互作用到氘核 - 超子的飞米学

From hyperon--nucleon interactions to deuteron--hyperon femtoscopy

Jiaxing Zhao

arXiv 2607.10722首次发表:更新:

发表机构

Helmholtz Research Academy Hesse for FAIR (HFHF), GSI Helmholtz Center for Heavy Ion Physics; Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität(黑森亥姆霍兹FAIR研究学院(HFHF),GSI重离子物理中心; 约翰·沃尔夫冈·歌德大学理论物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究d - Λ、d - Σ和d - Ξ系统低能散射与飞米学关联函数,用微观折叠方法构建相互作用并计算相关参数,未发现束缚态,各系统关联表现不同,还研究了衰变馈送效应,为飞米学测量提供预测,是超子 - 核相互作用灵敏探针。

AI 中文摘要

我们在微观折叠方法中研究了d - Λ、d - Σ和d - Ξ系统的低能散射和飞米学关联函数。通过将HAL - QCD超子 - 核子势与氘核波函数折叠来构建有效的氘核 - 超子相互作用,利用维格纳6j再耦合系数处理自旋和同位旋结构。计算了所有自旋通道的散射参数和动量关联函数。未发现dΛ、dΣ或dΞ系统的束缚态。dΛ关联有明显低动量增强,dΣ关联受排斥作用抑制,中性dΞ⁰系统增强适中,带电dΞ⁻关联因库仑吸引作用强烈放大。还研究了相关衰变的馈送效应,结果为未来飞米学测量提供了定量预测,确立了氘核 - 超子关联作为超子 - 核相互作用的灵敏探针。

英文摘要

I investigate the low-energy scattering and femtoscopic correlation functions of the $d-Λ$, $d-Σ$, and $d-Ξ$ systems within a microscopic folding approach. The effective deuteron--hyperon interactions are constructed by folding the HAL-QCD hyperon--nucleon potentials with the deuteron wave function, while the spin and isospin structures are treated through Wigner-$6j$ recoupling coefficients. Using the resulting interactions, I calculate the scattering parameters and momentum correlation functions for all spin channels. No bound states are found for the $d-Λ$, $d-Σ$, or $d-Ξ$ systems. Nevertheless, the $d-Λ$ correlation exhibits a pronounced low-momentum enhancement associated with a large scattering length and a near-threshold pole, whereas the $d-Σ$ correlation is suppressed by its predominantly repulsive interaction. The neutral $d-Ξ^{0}$ system shows only a moderate enhancement, while the charged $d-Ξ^{-}$ correlation is strongly amplified by the attractive Coulomb interaction. I further investigate feed-down effects from $Σ^{0}$, $Σ(1385)$, and $Ξ$ decays using Monte Carlo response matrices and demonstrate that these decays clearly modify the observable $d-Λ$ correlation. The results provide quantitative predictions for future femtoscopic measurements and establish deuteron--hyperon correlations as a sensitive probe of hyperon--nucleus interactions.

Comments9 pages, 6 figures

论文原文

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