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arXiv 1906.04061hep-phhep-exhep-lat
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光的轴向矢量和矢量共振$X(2100)$和$X(2239)$

Light axial-vector and vector resonances $X(2100)$ and $X(2239)$

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

摘要:

我们把共振态$X(2100)$和$X(2239)$分别看作具有夸克含量$ss \overline{s}\overline{s}$的轴矢量和矢量四夸克态,研究了它们的性质。在QCD两点求和规则框架下计算了这些奇异介子的光谱参数。所获得的预测质量$m=(2067 \pm 84)~\mathrm{MeV}$的轴向矢量状态是在最近观察到的结构$X(2100)$的质量的BESIII合作在衰减$J/ψ\to ϕηη^{\prime}$作为共振在$ϕη^{\prime}$质谱。我们还利用QCD光锥求和规则和软介子近似的技术方法研究了$S$波衰变$X(2100) \to ϕη^{\prime}$和$X(2100) \to ϕη$。轴向矢量四夸克态$Γ=(130.2\pm 30.1)~\mathrm{MeV}$的宽度被这两种衰变饱和,与测量到的共振态$X(2100)$的全宽相当。我们对矢量$ss\overline{s}\overline{s }$四夸克态质量$\widetilde{m}=(2283\pm 114)~\mathrm{MeV}$的预测与BESIII合作组对共振态$X(2239)$质量的实验结果$2239.2 \pm 7.1 \pm 11.3~\mathrm{MeV}$一致.

英文摘要:

We study features of the resonances $X(2100)$ and $X(2239)$ by treating them as the axial-vector and vector tetraquarks with the quark content $ss \overline{s}\overline{s}$, respectively. The spectroscopic parameters of these exotic mesons are calculated in the framework of the QCD two-point sum rule method. Obtained prediction for the mass $m=(2067 \pm 84)~\mathrm{MeV}$ of the axial-vector state is in excellent agreement with the mass of the structure $X(2100)$ recently observed by the BESIII Collaboration in the decay $J/ψ\to ϕηη^{\prime}$ as the resonance in the $ϕη^{\prime}$ mass spectrum. We explore also the $S$-wave decays $X(2100) \to ϕη^{\prime}$ and $X(2100) \to ϕη$ using the QCD light-cone sum rule approach and technical methods of the soft-meson approximation. The width of the axial-vector tetraquark, $Γ=(130.2\pm 30.1)~\mathrm{MeV}$, saturated by these two decays is comparable with the measured full width of the resonance $X(2100)$. Our prediction for the vector $ss\overline{s}\overline{s }$ tetraquark's mass $\widetilde{m}=(2283\pm 114)~\mathrm{MeV}$ is consistent with the experimental result $2239.2 \pm 7.1 \pm 11.3~\mathrm{MeV}$ of the BESIII Collaboration for the mass of the resonance $X(2239)$.

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