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

preprint2019arXivOpen access

Abstract

We study features of the resonances X(2100)X(2100) and X(2239)X(2239) by treating them as the axial-vector and vector tetraquarks with the quark content sss‾s‾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±84) MeVm=(2067 \pm 84)~\mathrm{MeV} of the axial-vector state is in excellent agreement with the mass of the structure X(2100)X(2100) recently observed by the BESIII Collaboration in the decay J/ψ→ϕηη′J/ψ\to ϕηη^{\prime} as the resonance in the ϕη′ϕη^{\prime} mass spectrum. We explore also the SS-wave decays X(2100)→ϕη′X(2100) \to ϕη^{\prime} and X(2100)→ϕηX(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±30.1) MeVΓ=(130.2\pm 30.1)~\mathrm{MeV}, saturated by these two decays is comparable with the measured full width of the resonance X(2100)X(2100). Our prediction for the vector sss‾s‾ss\overline{s}\overline{s } tetraquark's mass m~=(2283±114) MeV\widetilde{m}=(2283\pm 114)~\mathrm{MeV} is consistent with the experimental result 2239.2±7.1±11.3 MeV2239.2 \pm 7.1 \pm 11.3~\mathrm{MeV} of the BESIII Collaboration for the mass of the resonance X(2239)X(2239).

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