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Resonance $X\left(4630\right)$

2022    Agaev, S. S.; Azizi, K.; Sundu, H.

We investigate the structure $X\left(4630\right)$ discovered by the LHCb Collaboration in the process ${B}^{+}\to J/\psi \varphi {K}^{+}$ as a resonance in the $J/\psi \varphi $ mass distribution. We explore this resonance as a diquark-antidiquark state $X=\left[cs\right]\left[\overline{c}\overline{s}\right]$ with spin-parities ${J}^{\mathrm{PC}}={1}^{-+}$. 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/\psi \varphi $, ${\eta }_{c}{\eta }^{\left(\prime \right)}$ and ${\chi }_{c1}{\eta }^{\left(\prime \right)}$, 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 $m=\left(4632±60\right)\text{}\text{}\mathrm{MeV}$ and width $\Gamma =\left(159±31\right)\text{}\text{}\mathrm{MeV}$ of $X$ are in a very nice agreement with recent measurements of the LHCb Collaboration. These results allow us to interpret the resonance $X\left(4630\right)$ as the tetraquark $X$ with spin-parities ${J}^{\mathrm{PC}}={1}^{-+}$.