Resonance $X(4630)$

Abstract

We investigate the structure $X(4630)$ 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 $X=[cs][\overline{c}\overline{s}]$ 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 $J/\psi \varphi$, ${\eta }_c{\eta }^{(\prime )}$, and ${\chi }_{c1}{\eta }^{(\prime )}$, 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 $m=(4632\pm 60)\mathrm{MeV}$ and width $\Gamma =(159\pm 31)\mathrm{MeV}$ of $X$ are in a very nice agreement with recent measurements of the LHCb collaboration. These results allow us to interpret the resonance $X(4630)$ as the tetraquark $X$ with spin-parities $J^{\mathrm{PC}}=1^{-+}$.

arXiv comment15 Pages, 2 Figures and 1 Table

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• Exotica
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• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
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• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
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Cited by in corpus (6)

• Modeling the resonance $T_{cs0}^a(2900{)}^{++}$ as a hadronic molecule $D^{\ast +}{K}^{\ast +}$
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Possible Molecular Explanation for the Resonance $Y(4500)$
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$