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arXiv · 2207.11450

Investigating $S$-wave bound states composed of two pseudoscalar mesons

Zi-Long Li·Xing-Yue Tan·Zhu-Feng Zhang·Zhen-Yang Wang·Xin-Heng Guo
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Abstract

In this work, we systematically investigate the two-pseudoscalar meson systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations. By solving the Bethe-Salpeter equation numerically with the kernel containing the one-particle exchange diagrams, we find that the $K\bar{K}$, $DK$, $B\bar{K}$, $D\bar{D}$, $B\bar{B}$, $BD$, $D\bar{K}$, $BK$, and $B\bar{D}$ systems with $I=0$ can exist as bound states. We also study the contributions from heavy meson ($J/\psi$ and $\Upsilon$) exchanges, and we find that the contribution from heavy meson exchange can not be ignored.

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Zi-Long Li, Xing-Yue Tan, Zhu-Feng Zhang, Zhen-Yang Wang, Xin-Heng Guo. 2022-07-23. Investigating $S$-wave bound states composed of two pseudoscalar mesons. https://doi.org/10.1088/1674-1137%2Fac93ed

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