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Resonance X(4630)X(4630)

Published 4 Mar 2022 in hep-ph, hep-ex, and hep-lat | (2203.02542v2)

Abstract: We investigate the structure X(4630)X(4630) discovered by the LHCb collaboration in the process B<sup>+→</sup>J/ψϕK<sup>+B<sup>{+}\rightarrow</sup> J/\psi \phi K<sup>{+} as a resonance in the J/ψϕ J/\psi \phi mass distribution. We explore this resonance as a diquark-antidiquark state X=[cs][c‾s‾]X=[cs][\overline{c}\overline{s}] with spin-parities J<sup>PC=1<sup>−+J<sup>{\mathrm{PC}}=1<sup>{-+}. Its mass and current coupling are calculated using the QCD two-point sum rule method by taking into account vacuum condensates up to dimension $10$. We also study decays of this tetraquark to mesons J/ψϕJ/\psi\phi , ηcη<sup>(′</sup>)\eta _{c}\eta <sup>{(\prime</sup> )}, and χc1η<sup>(′</sup>)\chi _{c1}\eta <sup>{(\prime</sup> )}, and compute partial widths of these channels. To this end, we employ the light-cone sum rule approach and technical methods of soft-meson approximation to extract strong coupling at relevant tetraquark-meson-meson vertices. Our predictions for the mass m=(4632±60) MeVm=(4632\pm 60)~\mathrm{MeV} and width Γ=(159±31) MeV\Gamma=(159\pm 31)~\mathrm{MeV} of XX are in a very nice agreement with recent measurements of the LHCb collaboration. These results allow us to interpret the resonance X(4630)X(4630) as the tetraquark XX with spin-parities J<sup>PC=1<sup>−+J<sup>{\mathrm{PC}}=1<sup>{-+}.

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