标题： 轴向矢量和矢量共振态$X(2100)$和$X(2239)$ 显示英文标题

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

摘要： 我们研究了共振态$X(2100)$和$X(2239)$的特性，分别将它们视为具有组分$ss \overline{s}\overline{s}$的轴矢量和矢量四夸克态。 这些奇特介子的光谱参数是利用QCD两点求和规则方法计算的。 得到的轴矢量态质量$m=(2067 \pm 84)~\mathrm{MeV}$预测值与BESIII合作组最近在衰变$J/\psi \to \phi \eta \eta^{\prime}$中观测到的共振结构$X(2100)$的质量非常一致，该共振结构出现在$\phi \eta^{\prime}$质量谱中。 我们还利用QCD光锥求和规则方法以及软介子近似的技巧方法，研究了 $S$-波衰变 $X(2100) \to \phi\eta^{\prime}$ 和 $X(2100) \to \phi \eta$。由这两个衰变饱和的轴矢量四夸克态 $\Gamma=(130.2\pm 30.1)~\mathrm{MeV}$ 的宽度与共振态 $X(2100)$ 的测量总宽度相当。 我们预测的矢量四夸克态$ss\overline{s}\overline{s }$的质量$\widetilde{m}=(2283\pm 114)~\mathrm{MeV}$与 BESIII 合作组测得的共振态$X(2239)$的质量实验结果$2239.2 \pm 7.1 \pm 11.3~\mathrm{MeV}$一致。 显示英文摘要

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 $J/\psi \to \phi \eta \eta^{\prime}$ as the resonance in the $\phi \eta^{\prime}$ mass spectrum. We explore also the $S$-wave decays $X(2100) \to \phi\eta^{\prime}$ and $X(2100) \to \phi \eta$ using the QCD light-cone sum rule approach and technical methods of the soft-meson approximation. The width of the axial-vector tetraquark, $\Gamma=(130.2\pm 30.1)~\mathrm{MeV}$, 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 $X(2239)$.