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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2412.06400 |
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| _version_ | 1866912278263103488 |
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| author | Gao, Tian-Le Qian, Ri-Qing Liu, Xiang |
| author_facet | Gao, Tian-Le Qian, Ri-Qing Liu, Xiang |
| contents | In this work, we investigate the production of charmonium $2P$ states via the $e^+e^-\to γD\bar{D}$ process at $\sqrt{s} = 4.23$ GeV. Using the measured cross-section data for $e^+e^-\to γX(3872)$ as a reference, we calculate the cross sections for $e^+e^-\to γχ_{c0}(2P)$ and $e^+e^-\to γχ_{c2}(2P)$. Since the $χ_{c0}(2P)$ and $χ_{c2}(2P)$ states predominantly decay into $D\bar{D}$ final states, we also predict the corresponding $D\bar{D}$ invariant mass spectrum for the $e^+e^-\to γD\bar{D}$ process. Our results indicate that $e^+e^-\to γD\bar{D}$ is an ideal process for identifying the $χ_{c0}(2P)$ and $χ_{c2}(2P)$ states, analogous to the $γγ\to D\bar{D}$ and $B^+\to D^+D^-K^+$ processes. This study highlights the discovery potential of charmonium $2P$ states at BESIII and Belle II. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_06400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discovery potential of charmonium $2P$ states through the $e^+e^- \to γD\bar{D}$ processes Gao, Tian-Le Qian, Ri-Qing Liu, Xiang High Energy Physics - Phenomenology High Energy Physics - Experiment In this work, we investigate the production of charmonium $2P$ states via the $e^+e^-\to γD\bar{D}$ process at $\sqrt{s} = 4.23$ GeV. Using the measured cross-section data for $e^+e^-\to γX(3872)$ as a reference, we calculate the cross sections for $e^+e^-\to γχ_{c0}(2P)$ and $e^+e^-\to γχ_{c2}(2P)$. Since the $χ_{c0}(2P)$ and $χ_{c2}(2P)$ states predominantly decay into $D\bar{D}$ final states, we also predict the corresponding $D\bar{D}$ invariant mass spectrum for the $e^+e^-\to γD\bar{D}$ process. Our results indicate that $e^+e^-\to γD\bar{D}$ is an ideal process for identifying the $χ_{c0}(2P)$ and $χ_{c2}(2P)$ states, analogous to the $γγ\to D\bar{D}$ and $B^+\to D^+D^-K^+$ processes. This study highlights the discovery potential of charmonium $2P$ states at BESIII and Belle II. |
| title | Discovery potential of charmonium $2P$ states through the $e^+e^- \to γD\bar{D}$ processes |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2412.06400 |