New charged resonance $$Z_{c}^{-}(4100)$$ Zc-(4100) : the spectroscopic parameters and width

Abstract

Abstract The mass, coupling and width of the newly observed charged resonance $$ Z_{c}^{-}(4100)$$ Zc-(4100) are calculated by treating it as a scalar four-quark system with a diquark–antidiquark structure. The mass and coupling of the state $$ Z_{c}^{-}(4100)$$ Zc-(4100) 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 $$ Z_{c}^{-}(4100)$$ Zc-(4100) obtained by this way are employed to study its S-wave decays to $$\eta _c(1S)\pi ^{-}$$ ηc(1S)π- , $$\eta _c(2S)\pi ^{-}$$ ηc(2S)π- , $$D^{0}D^{-}$$ D0D- , and $$ J/\psi \rho ^{-}$$ J/ψρ- final states. To this end, we evaluate the strong coupling constants corresponding to the vertices $$Z_{c}\eta _c(1S)\pi ^{-}$$ Zcηc(1S)π- , $$ Z_{c}\eta _c(2S)\pi ^{-}$$ Zcηc(2S)π- , $$Z_{c}D^{0}D^{-}$$ ZcD0D- , and $$Z_{c}J/\psi \rho ^{-}$$ ZcJ/ψρ- respectively. The couplings $$g_{Z_c\eta _{c1} \pi }$$ gZcηc1π , $$g_{Z_{c}\eta _{c2} \pi }$$ gZcηc2π , and $$g_{Z_{c}DD}$$ gZcDD are computed by means of the QCD three-point sum rule method, whereas $$g_{Z_{c}J/\psi \rho }$$ gZcJ/ψρ is obtained from the QCD light-cone sum rule approach and soft-meson approximation. Our results for the mass $$ m=(4080 \pm 150)~\text {MeV}$$ m=(4080±150)MeV and total width $$\Gamma =(147 \pm 19)~\mathrm { MeV}$$ Γ=(147±19)MeV of the resonance $$Z_{c}^{-}(4100)$$ Zc-(4100) are in excellent agreement with the existing LHCb data.