Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866911516792455168 |
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| author | Di, Zun-Yan Wang, Zhi-Gang |
| author_facet | Di, Zun-Yan Wang, Zhi-Gang |
| contents | In this article, we take the $X(4140)$ as the axialvector tetraquark state with the symbolic quark structure $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$, and calculate the width of the two-body strong decay $X(4140)\rightarrow J/ψϕ$ within the framework of the light-cone sum rules. Different from the traditional light-cone sum rules, at the phenomenological side, we introduce parameters $C$ to eliminate the contaminations from the higher resonances and continuum states, and match the hadron side with the QCD side of the correlation function based on rigorous quark-hadron duality to obtain the stable QCD sum rules. Then we obtain the decay width $Γ(X(4140)\rightarrow J/ψϕ)=145\pm21\, \text{MeV}$, which is reasonable according to the experimental data $162\pm21^{+24}_{-49 } \,\text{MeV}$ from the LHCb collaboration. The numerical result supports the possibility that the $X(4140)$ could be the $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$ type axialvector tetraquark state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules Di, Zun-Yan Wang, Zhi-Gang High Energy Physics - Phenomenology In this article, we take the $X(4140)$ as the axialvector tetraquark state with the symbolic quark structure $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$, and calculate the width of the two-body strong decay $X(4140)\rightarrow J/ψϕ$ within the framework of the light-cone sum rules. Different from the traditional light-cone sum rules, at the phenomenological side, we introduce parameters $C$ to eliminate the contaminations from the higher resonances and continuum states, and match the hadron side with the QCD side of the correlation function based on rigorous quark-hadron duality to obtain the stable QCD sum rules. Then we obtain the decay width $Γ(X(4140)\rightarrow J/ψϕ)=145\pm21\, \text{MeV}$, which is reasonable according to the experimental data $162\pm21^{+24}_{-49 } \,\text{MeV}$ from the LHCb collaboration. The numerical result supports the possibility that the $X(4140)$ could be the $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$ type axialvector tetraquark state. |
| title | Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.08201 |