$Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction

Abstract

In this work, we study the $J/\psi \pi$ and ${\bar{D}}^{\ast }D$ invariant mass spectra of the $Y(4260)$ decay to find out the origin of the $Z_c(3900)$ and $Z_c(3885)$ structures. The $J/\psi \pi -{\bar{D}}^{\ast }D$ interaction is studied in a coupled-channel quasipotential Bethe-Saltpeter equation approach, and embedded to the $Y(4260)$ decay process to reproduce both $J/\psi {\pi }^{-}$ and $D^{\ast -}{D}^0$ invariant mass spectra observed at BESIII simultaneously. It is found out that a virtual state at energy about 3870 MeV is produced from the interaction when both invariant mass spectra are comparable with the experiment. The results support that both $Z_c(3900)$ and $Z_c(3885)$ have the same origin, that is, a virtual state from $J/\psi \pi -{\bar{D}}^{\ast }D$ interaction, in which the ${\bar{D}}^{\ast }D$ interaction is more important and the coupling between ${\bar{D}}^{\ast }D$ and $J/\psi \pi$ channels plays a minor role.

8 pages, 4 figures, more reference added

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Cited by in corpus (21)

• Pentaquark and Tetraquark states
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• $Z_{cs}(3985{)}^{-}$ 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
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• The $Z_c$ structures in a coupled-channels model
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Precise determination of the pole position of the exotic $Z_c(3900)$
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decay
• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Production of open-charm pentaquark molecules in decay $B^0\to {\bar{D}}^{0}p\bar{p}$
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• $N^{\ast }$ states with hidden charm and a three-body nature