论文标题
新的标量共振$ x_0(2900)$作为$ \叠加{d}^{*} k^{*} $ molecule:质量和宽度
New scalar resonance $X_0(2900)$ as a $\overline{D}^{*}K^{*}$ molecule: Mass and width
论文作者
论文摘要
我们探索标量结构$ x_0(2900)$的功能,这是LHCB最近在$ d^{ - } k^{+} $衰减$ b^{+b^{+} \ to d^{+} d^{+} d^{ - } k^{+} $中发现的两个共振之一。我们将$ x_0(2900)$视为由常规介子$ \ overline {d}^{* 0} $和$ k^{* 0} $组成并计算其质量,耦合和宽度。 $ x_0(2900)$的质量和耦合是使用QCD两点总规则方法确定的,考虑了夸克,gluon和混合真空凝结到尺寸$ 15 $。该结构对最终状态$ d^{ - } k^{+} $的衰减是在轻度键入规则方法的背景下进行的,该方法由软梅森技术支持。为此,我们评估了对应于顶点$ x_0d^{ - } k^{+} $的强耦合$ g $,这使我们能够找到衰减的宽度$ x_0(2900)\ to d^{ - } k^{+} $。获得了对HADRONIC分子$ \叠加{d}^{*0} k^{*0} $ m =(2868 \ pm 198)〜\ mathrm {mev} $的预测预测$ x_0(2900)$。
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 $X_0(2900)$.