Decipher the width of the $X(3872)$ via the QCD sum rules
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909133100285952 |
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| author | Wang, Zhi-Gang |
| author_facet | Wang, Zhi-Gang |
| contents | In this work, we take the $X(3872)$ as the hidden-charm tetraquark state with both isospin $I=0$ and $1$ components, then investigate the strong decays $X(3872)\to J/ψπ^+π^-$, $J/ψω$, $χ_{c1}π^0$, $D^{*0}\bar{D}^0$ and $D^{0}\bar{D}^0π^0$ with the QCD sum rules. We take account of all the Feynman diagrams, and acquire four QCD sum rules based on rigorous quark-hadron duality. We obtain the total decay width about $1\,\rm{MeV}$, which is in excellent agreement with the experiment data $ Γ_{X}=1.19\pm 0.21\,\rm{MeV}$ from the Particle Data Group, it is the first time to reproduce the tiny width of the $X(3872)$ via the QCD sum rules, which supports assigning the $X(3872)$ as the hidden-charm tetraquark state with the $J^{PC}=1^{++}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02030 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decipher the width of the $X(3872)$ via the QCD sum rules Wang, Zhi-Gang High Energy Physics - Phenomenology In this work, we take the $X(3872)$ as the hidden-charm tetraquark state with both isospin $I=0$ and $1$ components, then investigate the strong decays $X(3872)\to J/ψπ^+π^-$, $J/ψω$, $χ_{c1}π^0$, $D^{*0}\bar{D}^0$ and $D^{0}\bar{D}^0π^0$ with the QCD sum rules. We take account of all the Feynman diagrams, and acquire four QCD sum rules based on rigorous quark-hadron duality. We obtain the total decay width about $1\,\rm{MeV}$, which is in excellent agreement with the experiment data $ Γ_{X}=1.19\pm 0.21\,\rm{MeV}$ from the Particle Data Group, it is the first time to reproduce the tiny width of the $X(3872)$ via the QCD sum rules, which supports assigning the $X(3872)$ as the hidden-charm tetraquark state with the $J^{PC}=1^{++}$. |
| title | Decipher the width of the $X(3872)$ via the QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2310.02030 |