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New charged resonance ${Z}_{c}^{-}\left(4100\right)$ : the spectroscopic parameters and width

   Sundu, H.; Agaev, S.; Azizi, K.

The mass, coupling and width of the newly observed charged resonance ${Z}_{c}^{-}\left(4100\right)$ are calculated by treating it as a scalar four-quark system with a diquark–antidiquark structure. The mass and coupling of the state ${Z}_{c}^{-}\left(4100\right)$ are calculated using the QCD two-point sum rules. In these calculations we take into account contributions of the quark, gluon and mixed condensates up to dimension ten. The spectroscopic parameters of ${Z}_{c}^{-}\left(4100\right)$ obtained by this way are employed to study its S-wave decays to ${\eta }_{c}\left(1S\right){\pi }^{-}$ , ${\eta }_{c}\left(2S\right){\pi }^{-}$ , ${D}^{0}{D}^{-}$ , and $J/\psi {\rho }^{-}$ final states. To this end, we evaluate the strong coupling constants corresponding to the vertices ${Z}_{c}{\eta }_{c}\left(1S\right){\pi }^{-}$ , ${Z}_{c}{\eta }_{c}\left(2S\right){\pi }^{-}$ , ${Z}_{c}{D}^{0}{D}^{-}$ , and ${Z}_{c}J/\psi {\rho }^{-}$ respectively. The couplings ${g}_{{Z}_{c}{\eta }_{c1}\pi }$ , ${g}_{{Z}_{c}{\eta }_{c2}\pi }$ , and ${g}_{{Z}_{c}DD}$ are computed by means of the QCD three-point sum rule method, whereas ${g}_{{Z}_{c}J/\psi \rho }$ is obtained from the QCD light-cone sum rule approach and soft-meson approximation. Our results for the mass $m=\left(4080±150\right)\phantom{\rule{3.33333pt}{0ex}}\text{MeV}$ and total width $\Gamma =\left(147±19\right)\phantom{\rule{3.33333pt}{0ex}}\mathrm{MeV}$ of the resonance ${Z}_{c}^{-}\left(4100\right)$ are in excellent agreement with the existing LHCb data.

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