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arXiv 2008.13027hep-phhep-exhep-lat
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作为$\overline{D}^{*}K^{*}$分子的新标量共振$X_0(2900)$:质量和宽度

New scalar resonance $X_0(2900)$ as a $\overline{D}^{*}K^{*}$ molecule: Mass and width

S. S. Agaev, K. Azizi, H. Sundu

摘要:

我们探讨的标量结构$X_0(2900)$,这是最近发现的两个共振LHCb在$D^{-}K^{+}$不变的质量分布的衰变$B^{+} \to D^{+}D^{-}K^{+}$的特点。我们把$ X_0(2900)$看作由常规介子$ \overline{D}^{* 0} $和$K^{*0}$组成的强子分子,计算了它的质量、耦合度和宽度。$X_0(2900)$的质量和耦合使用QCD两点求和规则方法,考虑到夸克,胶子,和混合真空凝聚到$15$维确定。在软介子技术支持的光锥求和规则方法的背景下,这种结构的最终状态$D^{-}K^{+}$的衰变进行了研究。为此,我们评估强耦合$G$对应的顶点$X_0D^{-}K^{+}$,这使我们能够找到宽度的衰减$X_0(2900) \to D^{-}K^{+}$。得到的强子分子$\overline{D}^{*0 }K^{*0}$ $m=(2868 \pm 198)~\mathrm{MeV} $的质量和它的宽度$Γ=(49.6 \pm 9.3)~ \mathrm{MeV}$的预测可以被认为是有利于$X_0(2900)$的分子解释的参数。

英文摘要:

We explore features of the scalar structure $X_0(2900)$, which is one of the two resonances discovered recently by LHCb in the $D^{-}K^{+}$ invariant mass distribution in the decay $B^{+} \to D^{+}D^{-}K^{+}$. We treat $ X_0(2900)$ as a hadronic molecule composed of the conventional mesons $ \overline{D}^{* 0} $ and $K^{*0}$ and calculate its mass, coupling and width. The mass and coupling of $X_0(2900)$ are determined using the QCD two-point sum rule method by taking into account quark, gluon, and mixing vacuum condensates up to dimension $15$. The decay of this structure to final state $D^{-}K^{+}$ is investigated in the context of the light-cone sum rule approach supported by a soft-meson technique. To this end, we evaluate strong coupling $G$ corresponding to vertex $X_0D^{-}K^{+}$, which allows us to find width of the decay $X_0(2900) \to D^{-}K^{+}$. Obtained predictions for the mass of the hadronic molecule $\overline{D}^{*0 }K^{*0}$ $m=(2868 \pm 198)~\mathrm{MeV} $ and for its width $Γ=(49.6 \pm 9.3)~ \mathrm{MeV}$ can be considered as arguments in favor of molecule interpretation of $X_0(2900)$.

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