The radiative decay of scalar glueball from lattice QCD
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2024
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| author | Zou, Jintao Gui, Long-Cheng Chen, Ying Liang, Jian Jiang, Xiangyu Qin, Wen Yang, Yi-Bo |
| author_facet | Zou, Jintao Gui, Long-Cheng Chen, Ying Liang, Jian Jiang, Xiangyu Qin, Wen Yang, Yi-Bo |
| contents | We perform the first lattice QCD study on the radiative decay of the scalar glueball to the vector meson $ϕ$ in the quenched approximation. The calculations are carried out on three gauge ensembles with different lattice spacings, which enable us to do the continuum extrapolation. We first revisit the radiative $J/ψ$ decay into the scalar glueball $G$ and obtain the partial decay width $Γ(J/ψ\to γG)=0.578(86)~\text{keV}$ and the branching fraction $\text{Br}(J/ψ\to γG) = 6.2(9)\times 10^{-3}$. We then extend the similar calculation to the process $G\to γϕ$ and get the partial decay width $Γ(G \to γϕ)= 0.074(47)~\text{keV}$, which implies that the combined branching fraction of $J/ψ\toγG\to γγϕ$ is as small as $\mathcal{O}(10^{-9})$ such that this process is hardly detected by the BESIII experiment even with the large $J/ψ$ sample of $\mathcal{O}(10^{10})$. With the vector meson dominance model, the two-photon decay width of the scalar glueball is estimated to be $Γ(G\toγγ)=0.53(46)~\text{eV}$, which results in a large stickiness $S(G)\sim \mathcal{O}(10^4)$ of the scalar glueball by assuming the stickiness of $f_2(1270)$ to be one. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_01564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The radiative decay of scalar glueball from lattice QCD Zou, Jintao Gui, Long-Cheng Chen, Ying Liang, Jian Jiang, Xiangyu Qin, Wen Yang, Yi-Bo High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We perform the first lattice QCD study on the radiative decay of the scalar glueball to the vector meson $ϕ$ in the quenched approximation. The calculations are carried out on three gauge ensembles with different lattice spacings, which enable us to do the continuum extrapolation. We first revisit the radiative $J/ψ$ decay into the scalar glueball $G$ and obtain the partial decay width $Γ(J/ψ\to γG)=0.578(86)~\text{keV}$ and the branching fraction $\text{Br}(J/ψ\to γG) = 6.2(9)\times 10^{-3}$. We then extend the similar calculation to the process $G\to γϕ$ and get the partial decay width $Γ(G \to γϕ)= 0.074(47)~\text{keV}$, which implies that the combined branching fraction of $J/ψ\toγG\to γγϕ$ is as small as $\mathcal{O}(10^{-9})$ such that this process is hardly detected by the BESIII experiment even with the large $J/ψ$ sample of $\mathcal{O}(10^{10})$. With the vector meson dominance model, the two-photon decay width of the scalar glueball is estimated to be $Γ(G\toγγ)=0.53(46)~\text{eV}$, which results in a large stickiness $S(G)\sim \mathcal{O}(10^4)$ of the scalar glueball by assuming the stickiness of $f_2(1270)$ to be one. |
| title | The radiative decay of scalar glueball from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.01564 |