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

We study features of the resonances $X\left(2100\right)$ and $X\left(2239\right)$ by treating them as the axial-vector and vector tetraquarks with the quark content $ss\stackrel{‾}{s}\stackrel{‾}{s}$, 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 $m=\left(2067±84\right)\phantom{\rule{0.25em}{0ex}}\text{MeV}$ of the axial-vector state is in excellent agreement with the mass of the structure $X\left(2100\right)$ recently observed by the BESIII Collaboration in the decay $J/\psi \to \varphi \eta {\eta }^{\prime }$ as the resonance in the $\varphi {\eta }^{\prime }$ mass spectrum. We also explore the decays $X\left(2100\right)\to \varphi {\eta }^{\prime }$ and $X\left(2100\right)\to \varphi \eta $ using QCD light-cone sum rule approach and technical methods of the soft-meson approximation. The width of the axial-vector tetraquark, $\Gamma =\left(130.2±30.1\right)\phantom{\rule{0.25em}{0ex}}\text{MeV}$, saturated by these two processes is comparable with the measured full width of the resonance $X\left(2100\right)$. Our prediction for the vector $ss\stackrel{‾}{s}\stackrel{‾}{s}$ tetraquark's mass $\stackrel{˜}{m}=\left(2283±114\right)\phantom{\rule{0.25em}{0ex}}\text{MeV}$ is consistent with the experimental result $\left(2239.2±7.1±11.3\right)\phantom{\rule{0.25em}{0ex}}\text{MeV}$ of the BESIII Collaboration for the mass of the resonance $X\left(2239\right)$.