Strong decays of the isovector-scalar $D^\ast\bar{D}^\ast$ hadronic molecule
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| Format: | Preprint |
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2024
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| _version_ | 1866917775413346304 |
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| author | Deng, Jin-Cheng Wang, Bo |
| author_facet | Deng, Jin-Cheng Wang, Bo |
| contents | We adopt the effective Lagrangian approach to study the strong decays of the $1^-(0^{++})$ $D^\ast\bar{D}^\ast$ molecular state [denoted as $T_{\psi0}^a(4010)$ according to the LHCb naming convention] through triangle diagrams. The decay channels include the open-charm $D\bar{D}$, and the hidden-charm $η_cπ$, $J/ψρ$, and $χ_{c1}π$. The coupling between the $T_{\psi0}^a(4010)$ and its constituents $D^\ast\bar{D}^\ast$ is obtained by solving for the residue of the scattering $T$-matrix at the pole. Our calculations yield a total width of few tens MeV for the $T_{\psi0}^a(4010)$ state using three different form factors, with its main decay channels being $η_cπ$ and $χ_{c1}π$. The $X(4100)$ and $X(4050)$ have similar masses and widths, with both masses being close to the $D^\ast\bar{D}^\ast$ threshold. Additionally, their decay final states are consistent with those of the $T_{\psi0}^a(4010)$. Therefore, it is likely that they represent the same state and both potentially correspond to the $T_{\psi0}^a(4010)$. We suggest that future experiments focus on searching for the $T_{\psi0}^a(4010)$ signal in the final states $η_cπ^-$, $χ_{c1}π^-$ and $D^0D^-$ of the $B^0\toη_cπ^-K^+$, $χ_{c1}π^- K^+$ and $D^0D^-K^+$ processes, respectively, as well as further investigating its resonance parameters with Flatté-like formula. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_07000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong decays of the isovector-scalar $D^\ast\bar{D}^\ast$ hadronic molecule Deng, Jin-Cheng Wang, Bo High Energy Physics - Phenomenology High Energy Physics - Experiment We adopt the effective Lagrangian approach to study the strong decays of the $1^-(0^{++})$ $D^\ast\bar{D}^\ast$ molecular state [denoted as $T_{\psi0}^a(4010)$ according to the LHCb naming convention] through triangle diagrams. The decay channels include the open-charm $D\bar{D}$, and the hidden-charm $η_cπ$, $J/ψρ$, and $χ_{c1}π$. The coupling between the $T_{\psi0}^a(4010)$ and its constituents $D^\ast\bar{D}^\ast$ is obtained by solving for the residue of the scattering $T$-matrix at the pole. Our calculations yield a total width of few tens MeV for the $T_{\psi0}^a(4010)$ state using three different form factors, with its main decay channels being $η_cπ$ and $χ_{c1}π$. The $X(4100)$ and $X(4050)$ have similar masses and widths, with both masses being close to the $D^\ast\bar{D}^\ast$ threshold. Additionally, their decay final states are consistent with those of the $T_{\psi0}^a(4010)$. Therefore, it is likely that they represent the same state and both potentially correspond to the $T_{\psi0}^a(4010)$. We suggest that future experiments focus on searching for the $T_{\psi0}^a(4010)$ signal in the final states $η_cπ^-$, $χ_{c1}π^-$ and $D^0D^-$ of the $B^0\toη_cπ^-K^+$, $χ_{c1}π^- K^+$ and $D^0D^-K^+$ processes, respectively, as well as further investigating its resonance parameters with Flatté-like formula. |
| title | Strong decays of the isovector-scalar $D^\ast\bar{D}^\ast$ hadronic molecule |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2406.07000 |