Productions of $X(3872)$/$Z_c(3900)$ and $X_2(4013)$/$Z_c(4020)$ in $Y(4220)$ and $Y(4360)$ decays
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2024
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| author | Liu, Ming-Zhu Ling, Xi-Zhe Geng, Li-Sheng |
| author_facet | Liu, Ming-Zhu Ling, Xi-Zhe Geng, Li-Sheng |
| contents | The two excited vector charmonium states $Y(4220)$ and $Y(4360)$ are difficult to be understood as pure $c\bar{c}$ charmonium states. Since they are located close to the mass thresholds of $\bar{D}D_{1}$ and $\bar{D}^*D_{1}$, they can be viewed as $\bar{D}D_{1}$ and $\bar{D}^*D_{1}$ molecules. Furthermore, recent studies indicated that the exotic states $X(3872)$/$Z_c(3900)$ and $X_2(4013)$/$Z_c(4020)$ are the isoscalar/isovector $\bar{D}D^{*}$ and isoscalar/isovector $\bar{D}^*D^{*}$ molecules, respectively. In this work, in the molecular picture, we employ the triangle diagram mechanism to study the productions of $ Z_{c}(3900) $ and $X(3872)$ in the pionic and radiative decays of $Y(4220)$, as well as their heavy-quark spin symmetry (HQSS) partners, i.e., the productions of $Z_{c}(4020)$ and $X_2(4013)$ in the pionic and radiative decays of $Y(4360)$. Using the effective Lagrangian approach, we obtain the ratios of the branching fractions $\mathcal{B}[Y(4360) \to Z_c(4020)π]/\mathcal{B}[Y(4220)\to Z_c(3900)π]=1.2$ and $\mathcal{B}[Y(4360)\to X_2(4013) γ]/\mathcal{B}[Y(4220)\to X(3872)γ]=0.5$, almost independent of model parameters, which indicate that the productions of $X_2(4013)$ and $Z_c(4020)$ in the radiative and pionic decays of $Y(4360)$ are likely to be measured in the future. The experimental studies of the predicted decay modes will help verify the molecular nature of $X(3872)$, $Z_c(3900)$, and $Y(4220)$. We hope the present work can stimulate experimental and further theoretical studies on these decay modes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_07681 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Productions of $X(3872)$/$Z_c(3900)$ and $X_2(4013)$/$Z_c(4020)$ in $Y(4220)$ and $Y(4360)$ decays Liu, Ming-Zhu Ling, Xi-Zhe Geng, Li-Sheng High Energy Physics - Phenomenology The two excited vector charmonium states $Y(4220)$ and $Y(4360)$ are difficult to be understood as pure $c\bar{c}$ charmonium states. Since they are located close to the mass thresholds of $\bar{D}D_{1}$ and $\bar{D}^*D_{1}$, they can be viewed as $\bar{D}D_{1}$ and $\bar{D}^*D_{1}$ molecules. Furthermore, recent studies indicated that the exotic states $X(3872)$/$Z_c(3900)$ and $X_2(4013)$/$Z_c(4020)$ are the isoscalar/isovector $\bar{D}D^{*}$ and isoscalar/isovector $\bar{D}^*D^{*}$ molecules, respectively. In this work, in the molecular picture, we employ the triangle diagram mechanism to study the productions of $ Z_{c}(3900) $ and $X(3872)$ in the pionic and radiative decays of $Y(4220)$, as well as their heavy-quark spin symmetry (HQSS) partners, i.e., the productions of $Z_{c}(4020)$ and $X_2(4013)$ in the pionic and radiative decays of $Y(4360)$. Using the effective Lagrangian approach, we obtain the ratios of the branching fractions $\mathcal{B}[Y(4360) \to Z_c(4020)π]/\mathcal{B}[Y(4220)\to Z_c(3900)π]=1.2$ and $\mathcal{B}[Y(4360)\to X_2(4013) γ]/\mathcal{B}[Y(4220)\to X(3872)γ]=0.5$, almost independent of model parameters, which indicate that the productions of $X_2(4013)$ and $Z_c(4020)$ in the radiative and pionic decays of $Y(4360)$ are likely to be measured in the future. The experimental studies of the predicted decay modes will help verify the molecular nature of $X(3872)$, $Z_c(3900)$, and $Y(4220)$. We hope the present work can stimulate experimental and further theoretical studies on these decay modes. |
| title | Productions of $X(3872)$/$Z_c(3900)$ and $X_2(4013)$/$Z_c(4020)$ in $Y(4220)$ and $Y(4360)$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.07681 |