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

Abstract

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 $J/\psi \to \varphi \eta {\eta }^{\prime }$ as the resonance in the $\varphi {\eta }^{\prime }$ mass spectrum. We explore also the $S$-wave decays $X(2100)\to \varphi {\eta }^{\prime }$ and $X(2100)\to \varphi \eta$ 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 $\tilde{m}=(2283\pm 114)\mathrm{MeV}$ 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 $X(2239)$.

9 Pages and 3 Figures

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Cited by in corpus (12)

• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Nature of the vector resonance $Y(2175)$
• Study of the $\omega$ meson family and newly observed $\omega$-like state $X(2240)$
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Reconciling the X(2240) with the Y(2175)
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Possible charmed-strange molecular dibaryons
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$