发表机构
Universidad de Valencia-CSIC; IFIC, Centro Mixto Universidad de Valencia-CSIC; Instituto de Física Corpuscular, Centro Mixto Universidad de Valencia-CSIC（瓦伦西亚大学-西班牙国家科学研究委员会; 瓦伦西亚大学-CSIC混合中心IFIC; 瓦伦西亚大学-CSIC混合中心粒子物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出相对论性动量空间框架计算耦合道飞米尺度关联函数，发现 $D\pi$ 和 $D^*\pi$ 系统理论结果与 ALICE 实验提取不一致，源于实验假设关联函数在高动量达到 1 的错误，需重新分析数据以确立飞米尺度关联函数为可靠定量工具。
AI 中文摘要
我们提出了一个相对论性动量空间框架，用于计算包含强相互作用和库仑相互作用的耦合道飞米尺度关联函数。该方法将 Vincent--Phatak 方案推广到三维 Bethe--Salpeter 方程，通过波函数匹配将完全相对论性处理与正确的库仑渐近行为相结合。我们将其应用于 $D\pi$ 系统，使用一个能够再现 $D_0^*(2300)$ 已确立的双极点结构的耦合道重介子手征相互作用。我们的关联函数与先前的理论计算一致，但与 ALICE 合作组提取的结果显著不同。我们将这一张力追溯到实验分析中做出的假设，即真实关联函数在相对动量高于 $100$ MeV 时达到 1，而该区域仍受较低的 $D_0^*(2300)$ 极点影响。在不同的拟合窗口上重复提取，揭示了提取信号对所选范围的强烈依赖性，表明所得的 $D\pi$ 散射参数并不稳健，并促使对实验数据进行专门的重新分析。我们将分析扩展到 $D^*\pi$ 系统，其中在重夸克自旋对称性的紧密联系下出现了同样的问题。连同理论计算与 ALICE $K\pi$ 飞米尺度测量之间未解决的张力，这凸显了澄清这一谜团起源的必要性，旨在将飞米尺度关联函数确立为低能强子相互作用精密研究的可靠定量工具。
英文摘要
We present a relativistic momentum-space framework for femtoscopic correlation functions including strong and Coulomb interactions in coupled channels. The approach extends the Vincent--Phatak prescription to the three-dimensional Bethe--Salpeter equation, combining a fully relativistic treatment with the correct Coulomb asymptotics through wave-function matching. We apply it to the $Dπ$ system using a coupled-channel heavy-meson chiral interaction that reproduces the established two-pole structure of the $D_0^*(2300)$. Our correlation functions agree with previous theoretical calculations but differ significantly from those extracted by the ALICE Collaboration. We trace this tension to the assumption made in the experimental analysis that the genuine correlation function reaches unity above a relative momentum of $100$ MeV, whereas this region remains affected by the lower $D_0^*(2300)$ pole. Repeating the extraction over different fitting windows reveals a strong dependence of the extracted signal on the chosen range, demonstrating that the resulting $Dπ$ scattering parameters are not robust and motivating a dedicated reanalysis of the experimental data. We extend the analysis to the $D^*π$ system, where the same issue arises in close connection with heavy-quark spin symmetry. Together with the unresolved tension between theoretical calculations and the ALICE $Kπ$ femtoscopic measurements, this highlights the need to clarify the origin of this puzzle, with the aim of establishing femtoscopy as a reliable quantitative tool for precision studies of low-energy hadron interactions.
Comments12 pages, 5 figures
