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

Abstract

The mass, coupling and width of the newly observed charged resonance $Z_c^{-}(4100)$ are calculated by treating it as a scalar four-quark system with a diquark-antidiquark structure. The mass and coupling of the state $Z_c^{-}(4100)$ 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 $Z_c^{-}(4100)$ obtained by this way are employed to study its $S$-wave decays to ${\eta }_c(1S){\pi }^{-}$, ${\eta }_c(2S){\pi }^{-}$, $D^0{D}^{-}$, and $J/\psi {\rho }^{-}$ final states. To this end, we evaluate the strong coupling constants corresponding to the vertices $Z_c{\eta }_c(1S){\pi }^{-}$, $Z_c{\eta }_c(2S){\pi }^{-}$, $Z_c{D}^0{D}^{-}$, 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 $m=(4080\pm 150)\mathrm{MeV}$ and total width $\Gamma =(147\pm 19)\mathrm{MeV}$ of the resonance $Z_c^{-}(4100)$ are in excellent agreement with the existing LHCb data.

14 Pages, 4 Figures and 1 Table

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• The hidden-charm pentaquark and tetraquark states
• Multiquark Resonances
• Exotica
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Observation of the Charged Hadron $Z_c^{\pm }(3900)$ and Evidence for the Neutral $Z_c^0(3900)$ in $e^{+}{e}^{-}\to \pi \pi J/\psi$ at $\sqrt{s}=4170$ MeV
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
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• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
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• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• Analysis of the $Z_c(4200)$ as axial-vector molecule-like state
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Parity of ${\Theta }^{+}$(1540) from QCD sum rules
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• $Z_c(4100)$ and $Z_c(4200)$ as hadrocharmonium
• The Pion-Nucleon Form Factor From QCD Sum Rules
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• The lowest hidden charmed tetraquark state from QCD sum rules
• Higher Resonance Contamination of pi NN Couplings Obtained Via the Three-Point Function Method in QCD Sum Rules
• Probing an axial-vector tetraquark $Z_s$ via its semileptonic decay $Z_s\to X(4274)\overline{l}{\nu }_l$
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Cited by in corpus (27)

• Newly observed exotic doubly charmed meson $T_{cc}^{+}$
• New scalar resonance $X_0(2900)$ as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecule: Mass and width
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules
• Landau equation and QCD sum rules for the tetraquark molecular states
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Strange hadrocharmonium
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Strong decays of double-charmed pseudoscalar and scalar $cc\overline{u}\overline{d}$ tetraquarks
• Electromagnetic properties of doubly heavy pentaquark states
• The newly observed $Z_{cs}(3985{)}^{-}$ state: in vacuum and a dense medium
• Vector resonance $X_1(2900)$ and its structure
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Decay modes of the scalar exotic meson $T_{bs;\overline{u}\overline{d}}^{-}$
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Magnetic moments of the vector hidden-charmed tetraquark states
• Analysis of the decay $Y(4500)\to D^{\ast }{\bar{D}}^{\ast }\pi$ with the light-cone QCD sum rules
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Scalar or vector tetraquark state candidate: $Z_c(4100)$
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Structural dissection of hadronic molecules: The $D^{(\ast )}{\bar{K}}^{(\ast )}$ family under QCD light-cone sum rules
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$