$Z_c(4025)$ as the hadronic molecule with hidden charm

Abstract

We have studied the loosely bound $D^{\ast }{\bar{D}}^{\ast }$ system. Our results indicate that the recently observed charged charmonium-like structure $Z_c(4025)$ can be an ideal $D^{\ast }{\bar{D}}^{\ast }$ molecular state. We have also investigated its pionic, dipionic, and radiative decays. We stress that both the scalar isovector molecular partner $Z_{c0}$ and three isoscalar partners ${\tilde{Z}}_{c0,c1,c2}$ should also exist if $Z_c(4025)$ is a $D^{\ast }{\bar{D}}^{\ast }$ molecular state {in the framework of the one-pion-exchange model}. $Z_{c0}$ can be searched for in the channel $e^{+}{e}^{-}\to Y\to Z_{c0}(4025){\left(\pi \pi \right)}_{P-wave}$ where $Y$ can be Y(4260) or any other excited $1^{--}$ charmonium or charmonium-like states such as Y(4360), Y(4660) etc. The isoscalar $D^{\ast }{\bar{D}}^{\ast }$ molecular states ${\tilde{Z}}_{c0,c2}$ with $0^{+}(0^{++})$ and $0^{+}(2^{++})$ can be searched for in the three pion decay channel $e^{+}{e}^{-}\to Y\to {\tilde{Z}}_{c0,c2}{\left(3\pi \right)}_{P-wave}^{I=0}$. The isoscalar molecular state ${\tilde{Z}}_{c1}$ with $0^{-}(1^{+-})$ can be searched for in the channel ${\tilde{Z}}_{c1}\eta$. Experimental discovery of these partner states will firmly establish the molecular picture.

6 pages, 1 figure and 2 tables. Typos corrected

References in corpus (1)

• The Vector and Axial-Vector Charmonium-like States

Cited by in corpus (44)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• An overview of $XYZ$ new particles
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Analysis of the $Z_c(4020)$, $Z_c(4025)$, $Y(4360)$ and $Y(4660)$ as vector tetraquark states with QCD sum rules
• Employing spin symmetry to disentangle different models for the XYZ states
• Interpreting $Z_c(3900)$ and $Z_c(4025)/Z_c(4020)$ as charged tetraquark states
• $Z_{cs}(3985{)}^{-}$ 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
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Zc(4200)+ decay width as a charmonium-like tetraquark state
• Hidden-Charm Tetraquarks and Charged Zc States
• The $Z_c$ structures in a coupled-channels model
• Strong decays of the $XYZ$ states
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• $D^{\ast }{\bar{D}}^{\ast }$ molecule interpretation of $Z_c(4025)$
• Resolving the puzzling decay patterns of charged $Z_c$ and $Z_b$ states
• Relating $D^{\ast }{\bar{D}}^{\ast }$ currents with $J^{\pi }=0^{+},1^{+}$ and $2^{+}$ to $Z_c$ states
• Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$
• The low-lying hidden- and double-charm tetraquark states in a constituent quark model with Instanton-induced Interaction
• Probing the $XYZ$ states through radiative decays
• Low-energy Scattering of $(D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }$ System and the Resonance-like Structure $Z_c(4025)$
• Reanalysis of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ reaction and the claim for the $Z_c(4025)$ resonance
• 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
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Investigation of pion-induced $f_1(1285)$ production off a nucleon target within an interpolating Reggeized approach
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• Possible molecular states from the $N\Delta$ interaction
• Universal non-resonant explanation to charmoniumlike structures $Z_c(3885)$ and $Z_c(4025)$
• Search for supersymmetric baryons near production threshold in terms of the superflavor symmetry
• Radiative decays of the neutral $Z_c(3900)$ and $Z_c(4020)$
• The ground states of hidden-charm tetraquarks and their radial excitations
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm ,0}{\pi }^{\mp ,0}$ reactions at $\sqrt{s}=4.26$ GeV
• The nature of near-threshold XYZ states
• X, Y and Z States
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson