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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.07704 |
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| _version_ | 1866917098909859840 |
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| author | Qi, Jing-Juan Wang, Zhen-Yang Zhang, Zhu-Feng Guo, Xin-Heng |
| author_facet | Qi, Jing-Juan Wang, Zhen-Yang Zhang, Zhu-Feng Guo, Xin-Heng |
| contents | In this work, we investigate possible bound states of the $D_s\bar{D}_s$ system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation with a kernel that includes the contributions from $ϕ$ and $J/ψ$ exchanges, we confirm the existence of a bound state in the $D_s\bar{D}_s$ system. We further investigate the partial decay widths of the $D_s\bar{D}_s$ bound state into $D\bar{D}$, $η_cη$, and $J/ψω$, finding that these partial widths are sensitive to the parameter $α$ in our model. Notably, we observe that the dominant decay channel for the $D_s\bar{D}_s$ bound state is that into $D\bar{D}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07704 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The properties of the $S$-wave $D_s\bar{D}_s$ bound state Qi, Jing-Juan Wang, Zhen-Yang Zhang, Zhu-Feng Guo, Xin-Heng High Energy Physics - Phenomenology In this work, we investigate possible bound states of the $D_s\bar{D}_s$ system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation with a kernel that includes the contributions from $ϕ$ and $J/ψ$ exchanges, we confirm the existence of a bound state in the $D_s\bar{D}_s$ system. We further investigate the partial decay widths of the $D_s\bar{D}_s$ bound state into $D\bar{D}$, $η_cη$, and $J/ψω$, finding that these partial widths are sensitive to the parameter $α$ in our model. Notably, we observe that the dominant decay channel for the $D_s\bar{D}_s$ bound state is that into $D\bar{D}$. |
| title | The properties of the $S$-wave $D_s\bar{D}_s$ bound state |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.07704 |