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

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


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{
  "DOI": "10.1140/epjc/s10052-019-6737-0", 
  "abstract": "<p>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\u2013antidiquark 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   $m=\\left(4080\u00b1150\\right)\\phantom{\\rule{3.33333pt}{0ex}}\\text{MeV}$  and total width   $\\Gamma =\\left(147\u00b119\\right)\\phantom{\\rule{3.33333pt}{0ex}}\\mathrm{MeV}$  of the resonance   ${Z}_{c}^{-}\\left(4100\\right)$  are in excellent agreement with the existing LHCb data.</p>", 
  "author": [
    {
      "family": "Sundu", 
      "given": " H."
    }, 
    {
      "family": "Agaev", 
      "given": " S."
    }, 
    {
      "family": "Azizi", 
      "given": " K."
    }
  ], 
  "container_title": "European Physical Journal C", 
  "id": "106101", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "title": "New charged resonance   ${Z}_{c}^{-}\\left(4100\\right)$ : the spectroscopic parameters and width", 
  "type": "article-journal", 
  "volume": "79"
}
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