发表机构
Universidad de Valencia-CSIC; Universitat de Barcelona（瓦伦西亚大学-西班牙国家科学研究委员会; 巴塞罗那大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在固定中心近似下构建幺正$K^-d$振幅，结合SIDDHARTA-2数据自举分析，重新调整BCN模型参数，以约束$\ar{K}N$相互作用的同位旋矢量分量。
AI 中文摘要
我们使用手征$\ar{K}N$相互作用模型（OR和BCN）作为输入，研究负kaon与氘核的低能相互作用。三体$K^-d$振幅在Faddeev方程的固定中心近似（Fixed-Center Approximation）框架内构建，其中通过纳入相干多次散射过程，形式化地实现了传统方法中缺失的幺正约束。该幺正程序被扩展到耦合道，包括电荷交换过程，并通过使用物理粒子质量引入同位旋破缺效应。这为低能$K^-d$振幅提供了一致的描述，并允许确定散射长度和有效力程。随后，利用所得框架通过自举（bootstrap）分析评估BCN $\ar{K}N$相互作用模型与近期SIDDHARTA-2对kaonic氢和kaonic氘测量的兼容性。该程序导致BCN参数化的重新调整，这在多个对同位旋敏感的$\ar{K}N$散射可观测量中产生可见效应，从而凸显了新的kaonic原子测量为更好地约束${\ar K}N$相互作用中知之甚少的同位旋矢量分量所提供的额外信息。
英文摘要
We study the low-energy interaction of negative kaons with deuterons using chiral $\bar{K}N$ interaction models (OR and BCN) as input. The three-body $K^-d$ amplitude is constructed within the Fixed-Center Approximation to the Faddeev equations, where the unitary constraints missing in the conventional approach are formally implemented with the incorporation of coherent multiple-scattering processes. The unitary procedure is extended to coupled channels including charge-exchange processes, as well as isospin-breaking effects through the use of physical particle masses. This provides a consistent description of the low-energy $K^-d$ amplitude and allows for the determination of the scattering length and the effective range. The resulting framework is then used to assess the compatibility of the BCN $\bar{K}N$ interaction model with the recent SIDDHARTA-2 measurements of kaonic hydrogen and kaonic deuterium through a bootstrap analysis. The procedure leads to a readjustment of the BCN parameterization which produces visible effects in several isospin-sensitive $\bar{K}N$ scattering observables, hence highlighting the additional information provided by the new kaonic-atom measurements to better constrain the poorly known isovector component of the ${\bar K}N$ interaction.
Comments17 pages, 9 figures
