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arXiv · 2101.06688

Studying the $\bar{D}_1K$ molecule in the Bethe-Salpeter equation approach

Jing-Juan Qi·Zhen-Yang Wang·Zhu-Feng Zhang·Xin-Heng Guo
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Abstract

We interpret the $X_1(2900)$ as an $S$-wave $\bar{D}_1K$ molecular state in the Bethe-Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the verties, we find the bound state exists. We also study the decay width of the decay $X_1(2900)$ to $D^-K^+$.

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Jing-Juan Qi, Zhen-Yang Wang, Zhu-Feng Zhang, Xin-Heng Guo. 2021-01-17. Studying the $\bar{D}_1K$ molecule in the Bethe-Salpeter equation approach. https://doi.org/10.1140/epjc%2Fs10052-021-09422-z

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