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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2506.08406 |
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| _version_ | 1866912422440206336 |
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| author | Sangkhakrit, Thanat Kaewsnod, Attaphon Limphirat, Ayut Khosonthongkee, Khanchai Sreethawong, Warintorn Supanam, Nopmanee Yan, Yupeng |
| author_facet | Sangkhakrit, Thanat Kaewsnod, Attaphon Limphirat, Ayut Khosonthongkee, Khanchai Sreethawong, Warintorn Supanam, Nopmanee Yan, Yupeng |
| contents | The $χ_{c1}(3872)$ state, first observed by the Belle collaboration with its quantum numbers identified as $J^{PC} = 1^{++}$, has been the subject of extensive research due to its intriguing properties. Several theoretical interpretations have been proposed to explain its unique characteristics, including the $χ_{c1}(2P)$ assignment, a molecular $\bar{D}^{*}D/\bar{D}D^{*}$ configuration, a coupled-channel framework incorporating $c\bar{c}$ and di-meson degrees of freedom, and the compact tetraquark hypothesis. However, challenges remain in reconciling its mass coincidence with the threshold and the observed isospin violation within both the pure $c\bar{c}$ and compact tetraquark models. In this study, we examine the radiative decays of the $χ_{c1}(1P)$ and $χ_{c1}(3872)$ states in an effective field theory framework, incorporating triangle loops of $D$ and $D^{*}$ mesons. The model parameters are calibrated based on the observed branching fraction of the radiative decay mode $χ_{c1}(1P) \to J/ψγ$. Utilizing these fixed parameters, we predict the branching fractions $R_{χ_{c1}(3872) \to J/ψγ} \sim 10^{-1}$ and $R_{χ_{c1}(3872) \to ψ(2S) γ} \sim 10^{-2}$, and the relative fraction $\mathcal{R}_{Ψγ} \approx 0.109$. The work supports the argument that the $χ_{c1}(3872)$ is unlikely a $c\bar{c}$ state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radiative decay of $χ_{c1}$ states in effective Lagrangian approach Sangkhakrit, Thanat Kaewsnod, Attaphon Limphirat, Ayut Khosonthongkee, Khanchai Sreethawong, Warintorn Supanam, Nopmanee Yan, Yupeng High Energy Physics - Phenomenology The $χ_{c1}(3872)$ state, first observed by the Belle collaboration with its quantum numbers identified as $J^{PC} = 1^{++}$, has been the subject of extensive research due to its intriguing properties. Several theoretical interpretations have been proposed to explain its unique characteristics, including the $χ_{c1}(2P)$ assignment, a molecular $\bar{D}^{*}D/\bar{D}D^{*}$ configuration, a coupled-channel framework incorporating $c\bar{c}$ and di-meson degrees of freedom, and the compact tetraquark hypothesis. However, challenges remain in reconciling its mass coincidence with the threshold and the observed isospin violation within both the pure $c\bar{c}$ and compact tetraquark models. In this study, we examine the radiative decays of the $χ_{c1}(1P)$ and $χ_{c1}(3872)$ states in an effective field theory framework, incorporating triangle loops of $D$ and $D^{*}$ mesons. The model parameters are calibrated based on the observed branching fraction of the radiative decay mode $χ_{c1}(1P) \to J/ψγ$. Utilizing these fixed parameters, we predict the branching fractions $R_{χ_{c1}(3872) \to J/ψγ} \sim 10^{-1}$ and $R_{χ_{c1}(3872) \to ψ(2S) γ} \sim 10^{-2}$, and the relative fraction $\mathcal{R}_{Ψγ} \approx 0.109$. The work supports the argument that the $χ_{c1}(3872)$ is unlikely a $c\bar{c}$ state. |
| title | Radiative decay of $χ_{c1}$ states in effective Lagrangian approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.08406 |