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arXiv 1806.02489hep-phnucl-th
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耦合通道模型中$X(3872)$的$χ_{\rm c}(2P)$和$χ_{\rm b}(3P)$态及PDMATHAAC和$J/ψω$跃迁的阈值修正

Threshold corrections of $χ_{\rm c}(2P)$ and $χ_{\rm b}(3P)$ states and $J/ψρ$ and $J/ψω$ transitions of the $X(3872)$ in a coupled-channel model

J. Ferretti, E. Santopinto

摘要:

在耦合通道模型中,我们计算了具有阈值修正的$χ_{\rm c}(2P)$和$χ_{\rm b}(3P)$态的质量。在这里,介子夸克偶素核心由于对创造效应而被更高的Fock分量增强。根据我们的结果,我们解释的共振特征非常小的阈值修正,如$χ_{\rm b}(3P)$的,作为几乎纯的夸克偶素,和那些状态的特征不可忽略的阈值修正,如$X(3872)$,作为夸克偶素核心加介子-介子组件。我们还研究了$X(3872)$的$J/ψρ$和$J/ψω$隐味强衰变。衰变计算为其中一个组分($D^0 \bar D^{0*}$)解离成$c \bar c$态($J/ψ$)加上一个轻介子($ρ$或$ω$)。特别是,我们的结果之间的比例$X(3872) \rightarrow J/ψω$和$J/ψρ$宽度(0.6)是兼容的实验数据($0.8\pm0.3$)的实验误差。

英文摘要:

We calculate the masses of $χ_{\rm c}(2P)$ and $χ_{\rm b}(3P)$ states with threshold corrections in a coupled-channel model. Here, the meson quarkonium core is augmented by higher Fock components due to pair-creation effects. According to our results, we interpret the resonances characterized by very small threshold corrections, like $χ_{\rm b}(3P)$'s, as almost pure quarkonia, and those states characterized by non-negligible threshold corrections, like the $X(3872)$, as quarkonium cores plus meson-meson components. We also study the $J/ψρ$ and $J/ψω$ hidden-flavor strong decays of the $X(3872)$. The decays are calculated as the dissociation of one of these components ($D^0 \bar D^{0*}$) into a $c \bar c$ state ($J/ψ$) plus a light meson ($ρ$ or $ω$) in a potential model. In particular, our result for the ratio between the $X(3872) \rightarrow J/ψω$ and $J/ψρ$ widths (0.6) is compatible with the present experimental data ($0.8\pm0.3$) within the experimental error.

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