We study the behavior of the ${\chi }_{c1}\left(3872\right)$, also known as $X\left(3872\right)$, in dense nuclear matter. We begin from a picture in vacuum of the $X\left(3872\right)$ as a purely molecular $\left(D{\overline{D}}^{*}\text{-c.c.}\right)$ state, generated as a bound state from a heavy-quark symmetry leading-order interaction between the charmed mesons, and analyze the $D{\overline{D}}^{*}$ scattering $T$ matrix ($T_{D{\overline{D}}^{*}}$) inside of the medium. Next, we consider also mixed-molecular scenarios and, in all cases, we determine the corresponding $X\left(3872\right)$ spectral function and the $D{\overline{D}}^{*}$ amplitude, with the mesons embedded in the dense environment. We find important nuclear corrections for $T_{D{\overline{D}}^{*}}$ and the pole position of the resonance, and discuss the dependence of these results on the $D{\overline{D}}^{*}$ molecular component in the $X\left(3872\right)$ wave function. These predictions could be tested in the finite-density regime that can be accessed in the future CBM and PANDA experiments at the Facility for Antiproton and Ion Research (FAIR).

中文翻译：

---

核物质中的DD¯*散射和χc1(3872)

我们研究的行为 ${\chi }_{C1}\left(3872\right)$，也称为 $X\left(3872\right)$, 在致密的核物质中。我们从真空中的图片开始$X\left(3872\right)$ 作为纯分子 $\left(D{\overline{D}}^{*}\text{-cc}\right)$ 态，作为束缚态产生于迷惑介子之间的重夸克对称前导相互作用，并分析 $D{\overline{D}}^{*}$ 散射 $吨$ 矩阵 （${吨}_{D{\overline{D}}^{*}}$) 介质内部。接下来，我们还考虑混合分子场景，在所有情况下，我们确定相应的$X\left(3872\right)$ 谱函数和 $D{\overline{D}}^{*}$振幅，介子嵌入密集环境中。我们发现重要的核校正${吨}_{D{\overline{D}}^{*}}$ 和共振的极点位置，并讨论这些结果对 $D{\overline{D}}^{*}$ 分子成分在 $X\left(3872\right)$波函数。这些预测可以在有限密度机制中进行测试，该机制可以在未来反质子和离子研究设施 (FAIR) 的 CBM 和 PANDA 实验中进行访问。