预言的P波$D\bar{D}^*$分子态的辐射衰变：$0^{-+}$情形
Radiative decays of the predicted P-wave $D\bar{D}^*$ molecular state: the $0^{-+}$ case
- Henan Normal University（河南师范大学）
- Inner Mongolia University（内蒙古大学）
- Southeast University（东南大学）
- Lanzhou University（兰州大学）
- Qufu Normal University（曲阜师范大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文用唯象拉格朗日方法研究P波$D\bar{D}^*$分子态$G_0$的辐射衰变，发现$\gamma\omega$道为主导，并建议通过$Y(4230)\to\gamma G_0\to\gamma\omega J/\psi$级联衰变寻找该态。
AI中文摘要：
在本文中，我们采用唯象拉格朗日方法研究了具有$I^G(J^{PC})=0^+(0^{-+})$量子数的P波$D\bar{D}^*$分子态$G_0$的辐射衰变。分子耦合常数通过包含高斯形状因子的复合性条件确定。我们计算了$G_0\to \gamma\gamma$、$\gamma J/\psi$、$\gamma \psi(2S)$、$\gamma h_c$、$\gamma \rho$和$\gamma \omega$的分宽度。结果表明，双光子和$\gamma h_c$道受到强烈抑制，而$\gamma J/\psi$、$\gamma \psi(2S)$和$\gamma \rho$道的宽度在几个keV量级，$\gamma \omega$道的宽度达到几十keV，成为主导的辐射衰变模式。预言了比值$\Gamma(G_0 \to \gamma \psi(2S))/\Gamma(G_0 \to \gamma J/\psi)$和$\Gamma(G_0 \to \gamma \omega)/\Gamma(G_0 \to \gamma \rho)$分别为1-2.6和3.4-5.4，且对参数依赖较弱。我们还将辐射衰变与强子衰变进行比较，发现总辐射衰变宽度比强子衰变宽度低约一个数量级。我们建议在级联衰变$Y(4230)\to \gamma G_0 \to \gamma\omega J/\psi$中寻找$G_0$，该过程可供BESIII、Belle II和LHCb合作组进一步实验测量。
英文摘要：
In the present work, we study the radiative decays of the P-wave $D\bar{D}^*$ molecular state $G_0$ with $I^G(J^{PC})=0^+(0^{-+})$ using a phenomenological Lagrangian approach. The molecular coupling is fixed by the compositeness condition with a Gaussian form factor. The partial widths for $G_0\to γγ$, $γJ/ψ$, $γψ(2S)$, $γh_c$, $γρ$, and $γω$ are evaluated. Our results show that the two-photon and $γh_c$ channels are highly suppressed, while $γJ/ψ$, $γψ(2S)$, and $γρ$ are of the order of a few keV, and $γω$ reaches several tens of keV, making it the dominant radiative mode. The ratios $Γ(G_0 \to γψ(2S))/Γ(G_0 \to γJ/ψ)$ and $Γ(G_0 \to γω)/Γ(G_0 \to γρ)$ are predicted to be 1-2.6 and 3.4-5.4, respectively, with mild parameter dependence. We also compare with hadronic decays and find that the total radiative decay width is lower than the hadronic decay widths by about one order of magnitude. We propose searching for $G_0$ in the sequential decay $Y(4230)\to γG_0 \to γωJ/ψ$, which is accessible to further experimental measurements by the BESIII, Belle II and LHCb Collaborations.
