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近阈值奇特强子系统中库仑相互作用与短程相互作用的复合性

Compositeness of near-threshold exotic hadrons in systems with Coulomb and short-range interactions

Tomona Kinugawa, Tetsuo Hyodo

arXiv 2610.08340首次发表:更新:

发表机构

Nishina Center for Accelerator-Based Science, RIKEN; Research Center for Nuclear Physics, The University of Osaka(理化学研究所仁科加速器科学研究中心; 大阪大学核物理研究中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过非相对论有效场论,研究库仑加短程相互作用系统中近阈值s波态的复合性,发现弱库仑时保留短程低能普适性导致复合态主导,强库仑时该普适性消失。

AI 中文摘要

我们通过分析复合性,研究了具有库仑加短程相互作用的系统中近阈值s波本征态的普适性质。利用非相对论有效场论,我们推导出近阈值态的复合性与库仑散射长度、库仑有效范围及玻尔半径之间的关系。我们发现,长程库仑相互作用改变了纯短程系统低能普适性所预期的阈值行为。当库仑相互作用相对于短程相互作用较弱时,与短程相互作用相关的低能普适性残余得以保留,导致近阈值本征态以复合态为主。相反,在强库仑区域,这种残余消失。

英文摘要

We study the universal properties of near-threshold $s$-wave eigenstates in systems with Coulomb plus short-range interactions by analyzing their compositeness. Using a nonrelativistic effective field theory, we derive a relation between the compositeness of near-threshold states and the Coulomb scattering length, the Coulomb effective range, and the Bohr radius. We find that the long-range Coulomb interaction modifies the threshold behavior expected from the low-energy universality of purely short-range systems. When the Coulomb interaction is relatively weak compared with the short-range interaction, a remnant of the low-energy universality associated with the short-range interaction survives, leading to composite-dominant near-threshold eigenstates. In contrast, in the strong-Coulomb regime, this remnant disappears.

Comments5 pages, Proceedings of the 18th International Workshop on Meson Physics (MESON 2026), 25-30 June 2026

论文原文

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