Constrain the $χ_{cJ}\to D^{(*)}\bar{D}^{(*)}$ effective couplings via the $X(3872)\to π^0χ_{cJ}$ decays
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arXiv
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2025
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| _version_ | 1866915581227171840 |
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| author | Jia, Zhao-Sai Li, Gang Zhang, Zhen-Hua |
| author_facet | Jia, Zhao-Sai Li, Gang Zhang, Zhen-Hua |
| contents | The hidden-charm decays serve as irreplaceable platforms for probing the structures of charmonium-like states, such as $X(3872)$, $Y(4260)$, $Z_c(3900)$, and their heavy-quark-symmetry partners. In the hadronic molecular scenario, these hidden-charm decays are denominated by intermediate meson loops (IMLs), and the couplings of $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ are building blocks of the amplitudes for the pionic and radiative transitions of the charmonium-like states to the $χ_{cJ}$ and $h_c$ states, e.g., $X(3872)\to π^0χ_{cJ},\,ππχ_{cJ},\,γχ_{cJ}$ and $Y(4260)\to π^0 h_c,\,ηh_c$. These couplings can not be extracted from the partial decay widths of the $χ_{cJ}$ directly and only have estimated values from the vector meson dominance (VMD) model. Utilizing the recent precise determination of the pole position and the isospin breaking properties of the $X(3872)$, we give an estimation on the upper bounds of the absolute values of the $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ couplings. Our results show that the VMD model may over estimate the $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ couplings considering the $X(3872)$ as a $D\bar{D}^{*}$ hadronic molecule with a binding energy about tens of keV. These upper limits can be used and tested in other hidden-charm transitions of the charmonium-like states to the $χ_{cJ}$ and $h_c$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constrain the $χ_{cJ}\to D^{(*)}\bar{D}^{(*)}$ effective couplings via the $X(3872)\to π^0χ_{cJ}$ decays Jia, Zhao-Sai Li, Gang Zhang, Zhen-Hua High Energy Physics - Phenomenology The hidden-charm decays serve as irreplaceable platforms for probing the structures of charmonium-like states, such as $X(3872)$, $Y(4260)$, $Z_c(3900)$, and their heavy-quark-symmetry partners. In the hadronic molecular scenario, these hidden-charm decays are denominated by intermediate meson loops (IMLs), and the couplings of $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ are building blocks of the amplitudes for the pionic and radiative transitions of the charmonium-like states to the $χ_{cJ}$ and $h_c$ states, e.g., $X(3872)\to π^0χ_{cJ},\,ππχ_{cJ},\,γχ_{cJ}$ and $Y(4260)\to π^0 h_c,\,ηh_c$. These couplings can not be extracted from the partial decay widths of the $χ_{cJ}$ directly and only have estimated values from the vector meson dominance (VMD) model. Utilizing the recent precise determination of the pole position and the isospin breaking properties of the $X(3872)$, we give an estimation on the upper bounds of the absolute values of the $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ couplings. Our results show that the VMD model may over estimate the $χ_{cJ}\to D^{(\ast)}\bar{D}^{(\ast)}$ couplings considering the $X(3872)$ as a $D\bar{D}^{*}$ hadronic molecule with a binding energy about tens of keV. These upper limits can be used and tested in other hidden-charm transitions of the charmonium-like states to the $χ_{cJ}$ and $h_c$. |
| title | Constrain the $χ_{cJ}\to D^{(*)}\bar{D}^{(*)}$ effective couplings via the $X(3872)\to π^0χ_{cJ}$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.16618 |