Systematic analysis of the D-wave charmonium states with the QCD sum rules
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| Format: | Preprint |
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2024
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| _version_ | 1866918370290434048 |
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| author | Xin, Qi Wang, Zhi-Gang |
| author_facet | Xin, Qi Wang, Zhi-Gang |
| contents | We systematically study the 1D charmonium spin-triplet (with the $J^{PC}=1^{--}, 2^{--}, 3^{--}$) and spin-singlet (with the $J^{PC}=2^{-+}$) via the QCD sum rules in comparison with the recent experimental results. The predicted mass $M_{ψ_1}=3.77\pm{0.09}\,\rm {GeV}$ supports identifying the $ψ_1$ as the $ψ(3770)$, the value $M_{ψ_2}=3.82\pm{0.09}\,\rm {GeV}$ is consistent with the reported observation of the $ψ_2(3823)$, the prediction $M_{ψ_3}=3.84\pm{0.08}\,\rm {GeV}$ supports identifying the $ψ_3$ as the $ψ_3(3842)$. Additionally, we estimate the unobserved $η_{c2}$ state lies at $3.83\pm{0.09}\,\rm {GeV}$, and suggest detection prospects in the future. More experimental data will help us to unravel the mass spectrum of the charmonium states near the open-charm thresholds. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_08051 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systematic analysis of the D-wave charmonium states with the QCD sum rules Xin, Qi Wang, Zhi-Gang High Energy Physics - Phenomenology We systematically study the 1D charmonium spin-triplet (with the $J^{PC}=1^{--}, 2^{--}, 3^{--}$) and spin-singlet (with the $J^{PC}=2^{-+}$) via the QCD sum rules in comparison with the recent experimental results. The predicted mass $M_{ψ_1}=3.77\pm{0.09}\,\rm {GeV}$ supports identifying the $ψ_1$ as the $ψ(3770)$, the value $M_{ψ_2}=3.82\pm{0.09}\,\rm {GeV}$ is consistent with the reported observation of the $ψ_2(3823)$, the prediction $M_{ψ_3}=3.84\pm{0.08}\,\rm {GeV}$ supports identifying the $ψ_3$ as the $ψ_3(3842)$. Additionally, we estimate the unobserved $η_{c2}$ state lies at $3.83\pm{0.09}\,\rm {GeV}$, and suggest detection prospects in the future. More experimental data will help us to unravel the mass spectrum of the charmonium states near the open-charm thresholds. |
| title | Systematic analysis of the D-wave charmonium states with the QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.08051 |