Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks

Abstract

Exploration of the resonances $Z_c(3900)$ and $Z(4430)$ are performed by assuming that they are ground-state and first radial excitation of the same tetraquark with $J^P=1^{+}$. The mass and current coupling of the $Z_c(3900)$ and $Z(4430)$ states are calculated using QCD two-point sum rule method by taking into account vacuum condensates up to eight dimensions. We investigate the vertices $Z_c{M}_h{M}_l$ and $Z{M}_h{M}_l$, with $M_h$ and $M_l$ being the heavy and light mesons, and evaluate the strong couplings $g_{Z_c{M}_h{M}_l}$ and $g_{Z{M}_h{M}_l}$ using QCD sum rule on the light cone. The extracted couplings allow us to find the partial width of the decays $Z_c(3900)\to J/\psi \pi ;{\psi }^{\prime }\pi ;{\eta }_c\rho$ and $Z(4430)\to {\psi }^{\prime }\pi ;J/\psi \pi ;{\eta }_c^{\prime }\rho ;{\eta }_c\rho$, which may help in comprehensive investigation of these resonances. We compare width of the decays of $Z_c(3900)$ and $Z(4430)$ resonances with available experimental data as well as existing theoretical predictions.

12 Pages, 3 Figures and 5 Tables

References in corpus (21)

• Multiquark Resonances
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Hadro-Charmonium
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• Excited heavy tetraquarks with hidden charm
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• QCD sum rules study of the meson Z^+(4430)
• Search for tetraquark candidate Z(4430) in meson photoproduction
• Threshold effect and π^\pm ψ(2S) peak
• Four-quark structure of Zc(3900), Z(4430) and Xb(5568) states
• The meson $Z^{+}(4430)$ as a tetraquark state
• Probing the nature of Z_c states via the eta_c rho decay
• Hidden-charm and radiative decays of the Z(4430) as a hadronic D_1 \bar{D^\ast} bound state
• Radiative and dilepton decays of the hadronic molecule Zc(3900)+
• Line Shapes of the Z(4430)
• Mass spectrum of the axial-vector hidden charmed and hidden bottom tetraquark states

Cited by in corpus (26)

• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction
• Magnetic and quadrupole moments of the $Z_c(3900)$
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Analysis of the hidden-bottom tetraquark mass spectrum with the QCD sum rules
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules
• Settling the $Z_c(4600)$ in the charged charmonium-like family
• 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
• Spectroscopic parameters and decays of the resonance $Z_b(10610)$
• Precise determination of the pole position of the exotic $Z_c(3900)$
• Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decay
• Searching for tetraquark through weak decays of b-baryons
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• Properties of $Z_c(3900)$ tetraquark in a cold nuclear matter
• Universal non-resonant explanation to charmoniumlike structures $Z_c(3885)$ and $Z_c(4025)$
• Axial-tensor Meson Family at $T\ne 0$
• Possible Molecular Explanation for the Resonance $Y(4500)$
• Modifications on parameters of $Z(4430)$ in a dense medium
• Tetraquark molecular states in the $D_s{\bar{D}}_{s1}$ and $D_s^{\ast }{\bar{D}}_{s0}^{\ast }$ mass spectrum
• The ground states of hidden-charm tetraquarks and their radial excitations
• Observation and investigation of the $T_{c\bar{c}1}(4430{)}^{+}$ structure in $B^{+}\to \psi (2S)K_{\text{S}}^0{\pi }^{+}$ decays
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$