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arXiv · 2309.09662

Radiative transition decay width of $ψ_2(3823)\rightarrowγχ_{c1}$ from lattice QCD

Ning Li·Yan Gao·Feiyu Chen·Ying Chen·Xiangyu Jiang·Chunjiang Shi·Wei Sun
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Abstract

We present an exploratory $N_f=2$ lattice QCD study of $ψ_2(3823)\to γχ_{c1}$ at a pion mass $m_π\approx 350$~MeV. The related two-point and three-piont functions are calculated using the distillation method. The electromagnetic multipole form factor $\hat{V}(0)=2.083(11)$ for $J/ψ\toγη_c$ is consistent with previous lattice results, the form factors $\hat{E}_1(0)$, $\hat{M}_2(0)$ and $\hat{E}_3(0)$ for $Γ(χ_{c2}\toγJ/ψ)$ have the same hierarchy as that derived from experiments and the predicted decay width $Γ(χ_{c2}\toγJ/ψ)=368(5)~\text{keV}$ is in excellent agreement with the PDG value $374(10)~\text{keV}$ and previous lattice QCD results in the quenched approximation. The same strategy is applied to the study of the process $ψ_2(3823)\to γχ_{c1}$ and the partial decay width is predicted to be $337(27)~\text{keV}$. According to the BESIII constraints on the $ψ_2(3823)$ decay channels and some phenomenological results, we estimate the total width $Γ(ψ_2(3823))=520(100)~\text{keV}$.

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Ning Li, Yan Gao, Feiyu Chen, Ying Chen, Xiangyu Jiang, Chunjiang Shi, Wei Sun. 2023-09-18. Radiative transition decay width of $ψ_2(3823)\rightarrowγχ_{c1}$ from lattice QCD. https://arxiv.org/abs/2309.09662

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