arXiv 2102.085892021-02-17hep-phhep-exhep-thnucl-exnucl-th

核物质中的$D\bar{D}^*$散射和$χ_{c1}(3872)$

$D\bar{D}^*$ scattering and $χ_{c1}(3872)$ in nuclear matter

M. Albaladejo, J. M. Nieves, L. Tolos

发表信息：: Phys. Rev. C 104, 035203 (2021)
DOI：: 10.1103/PhysRevC.104.035203

摘要：

我们研究的$χ_{c1}(3872)$，也被称为$X(3872)$，在致密的核物质的行为。我们从一个纯分子$X(3872)$态的真空图像开始，作为一个束缚态产生的重夸克对称性的领先级相互作用的魅力介子之间，并分析$D \bar D^*$散射$T-$矩阵（$T_{D \bar D^*}$）内的介质。接下来，我们也考虑混合分子的情况下，在所有情况下，我们确定相应的$X(3872)$谱函数和$D \bar D^*$振幅，介子嵌入在稠密的环境。我们发现重要的核修正$T_{D \bar D^*}$和共振的极点位置，并讨论了这些结果的依赖于$X(3872)$波函数中的$D \bar D^*$分子成分。这些预测可以在有限密度制度，可以在未来的CBM和PANDA实验FAIR访问进行测试。

英文摘要：

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

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