动量空间飞米子能谱学中的库仑效应：以$\bar{K}Ω$系统为例
Coulomb Effects in Momentum-Space Femtoscopy: A Case Study of the $\bar{K}Ω$ System
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中文总结 AI 辅助
该研究提出动量空间框架处理飞米子关联函数中库仑相互作用，以改进方法纳入短距库仑效应，应用于$\bar{K}\Omega$等系统，评估渐近近似局限并量化修正，引入参数吸收相关贡献，助力提取强子相互作用信息。
中文摘要 AI 辅助
我们基于改进的文森特 - 法塔克方法，提出了一个用于在飞米子关联函数中一致处理库仑相互作用的动量空间框架，该方法更便于数值实现。此形式体系提供了一种实用方法，可在保留强相互作用统一处理的同时，将与飞米子能谱学相关的短距离库仑效应纳入利普曼 - 施温格方程。作为应用，研究了$\bar{K}\Omega$系统中$S = -4$的赝标介子 - 重子十重态相互作用，并给出了单负电和双负电通道$\bar{K}^0\Omega^-$和$K^-\Omega^-$的预测。还将其应用于已充分研究的$pp$系统进行形式体系的额外验证。进一步评估了渐近波函数近似的局限性，并量化了考虑相互作用势短距离结构的修正。引入了一个唯象参数，有效吸收了有限源尺寸和相互作用离壳结构的贡献，后者是从飞米子测量中以与模型无关的方式提取强子 - 强子相互作用详细信息的主要障碍之一。
英文摘要
We present a momentum-space framework for the consistent treatment of Coulomb interactions in femtoscopic correlation functions based on a modified Vincent--Phatak method that is more amenable to numerical implementation. The formalism provides a practical approach to incorporating Coulomb effects at the short distances relevant for femtoscopy within the Lippmann--Schwinger equation, while preserving a unified treatment of the strong interaction. As an application, we study the $S=-4$ pseudoscalar--baryon decuplet interaction in the $\bar{K}Ω$ system and present predictions for the singly and doubly negatively charged channels, $\bar{K}^0Ω^-$ and $K^-Ω^-$. As an additional validation of the formalism, we have also applied it to the well-studied $pp$ system. We further assess the limitations of the asymptotic wave-function approximation and quantify corrections accounting for the short-distance structure of the interaction potential. We introduce a phenomenological parameter that effectively absorbs contributions from both the finite source size and the off-shell structure of the interaction, the latter being one of the main obstacles to extracting detailed information on hadron--hadron interactions from femtoscopic measurements in a model-independent way.
