标题： 飞秒学研究$DN$和$\bar{D}N$系统 显示英文标题

标题： Femtoscopy of $DN$ and $\bar{D}N$ systems

摘要： ALICE@LHC和STAR@RHIC实验重建$D$介子的能力，使得在小系统和大系统中对开放底介子的费米尺度相关测量成为可能。 在这项工作中，我们基于应用到这些高能碰撞产生的系统的Koonin-Pratt形式，对$D$和$\bar{D}$介子与核子的相关函数进行了理论计算。 我们使用了一个有效拉格朗日量，用于描述底介子与重子之间的相互作用。 从单位化的实轴振幅中，我们提取了低能散射参数，并利用Lednický-Lyuboshitz近似计算相关函数。 此外，我们将TROY形式应用于获得耦合通道中的非壳上$T$-矩阵，并重构完整的波函数，将其纳入Koonin-Pratt公式中。 我们比较了这两种方法，并提供了不同相关对的预测，包括耦合通道的库仑相互作用和热权重的影响。 这些结果可以与ALICE和STAR合作组在质子-质子和重离子碰撞中的当前和未来实验数据进行对比。 显示英文摘要

摘要： The capability of the ALICE@LHC and STAR@RHIC experiments to reconstruct $D$ mesons has enabled femtoscopic correlation measurements of open-charm mesons in both small and large systems. In this work, we present a theoretical calculation of the correlation functions of $D$ and $\bar{D}$ mesons with nucleons, based on the Koonin-Pratt formalism applied to the systems produced in these high-energy collisions. We use an effective Lagrangian that models the interaction between charmed mesons and baryons. From the unitarized on-shell amplitudes, we extract the low-energy scattering parameters and compute the correlation functions using the Lednick\'y-Lyuboshitz approximation. Additionally, we apply the TROY formalism to obtain the off-shell $T$-matrix in coupled channels and reconstruct the full wave function, which we incorporate into the Koonin-Pratt formula. We compare these two approaches and provide predictions for different correlated pairs, including the effects of the Coulomb interaction and thermal weights for the coupled channels. These results can be tested against current and future experimental data from ALICE and STAR collaborations in both proton-proton and heavy-ion collisions.