The decay property of the $X(3842)$ as the $ψ_{_3}(1^3D_{_3})$ state
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917564953657344 |
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| author | Li, Wei Pei, Su-Yan Wang, Tianhong Feng, Tai-Fu Wang, Guo-Li |
| author_facet | Li, Wei Pei, Su-Yan Wang, Tianhong Feng, Tai-Fu Wang, Guo-Li |
| contents | In this paper, the new particle $X(3842)$ discovered by the LHCb Collaboration is identified to be the $ψ_{_3}(1^3D_{_3})$ state. We study its strong decays with the combination of the Bethe-Salpeter method and the $^3P_{_0}$ model. Its electromagnetic (EM) decay is also calculated by the Bethe-Salpeter method within Mandelstam formalism. The strong decay widths are {$Γ[X(3842)\rightarrow D^{0}\bar{D}^{0}]=1.28$ MeV}, $Γ[X(3823)\rightarrow D^{+}D^{-}]=1.08$ MeV, and the ratio ${\cal B}[X(3842)\rightarrow D^{+}D^{-}]/{\cal B}[X(3823)\rightarrow D^{0}\bar{D}^{0}]=0.84$. The EM decay width is $Γ[X(3842)\rightarrowχ_{_{c2}}γ]=0.29$ MeV. We also estimate the total width to be 2.87 MeV, which is in good agreement with the experimental data $2.79^{+0.86}_{-0.86}$ MeV. Since the used relativistic wave functions include different partial waves, we also study the contributions of different partial waves in electromagnetic decay. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_02280 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The decay property of the $X(3842)$ as the $ψ_{_3}(1^3D_{_3})$ state Li, Wei Pei, Su-Yan Wang, Tianhong Feng, Tai-Fu Wang, Guo-Li High Energy Physics - Phenomenology In this paper, the new particle $X(3842)$ discovered by the LHCb Collaboration is identified to be the $ψ_{_3}(1^3D_{_3})$ state. We study its strong decays with the combination of the Bethe-Salpeter method and the $^3P_{_0}$ model. Its electromagnetic (EM) decay is also calculated by the Bethe-Salpeter method within Mandelstam formalism. The strong decay widths are {$Γ[X(3842)\rightarrow D^{0}\bar{D}^{0}]=1.28$ MeV}, $Γ[X(3823)\rightarrow D^{+}D^{-}]=1.08$ MeV, and the ratio ${\cal B}[X(3842)\rightarrow D^{+}D^{-}]/{\cal B}[X(3823)\rightarrow D^{0}\bar{D}^{0}]=0.84$. The EM decay width is $Γ[X(3842)\rightarrowχ_{_{c2}}γ]=0.29$ MeV. We also estimate the total width to be 2.87 MeV, which is in good agreement with the experimental data $2.79^{+0.86}_{-0.86}$ MeV. Since the used relativistic wave functions include different partial waves, we also study the contributions of different partial waves in electromagnetic decay. |
| title | The decay property of the $X(3842)$ as the $ψ_{_3}(1^3D_{_3})$ state |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.02280 |