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A Three-Coupled-Channel Analysis of Z_c(3900) Involving Dbar{D}^*, π J/psi, and rho η_c
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A Three-Coupled-Channel Analysis of $Z_c(3900)$ Involving $D\bar{D}^*$, $\pi J/\psi$, and $\rho \eta_c $
abstract
In this work, we conduct a three-coupled-channel analysis of the $Z_c(3900)$ structure, focusing on the $D\bar{D}^*$, $J/\psi \pi$, and $\rho \eta_c$ channels, based on the one-boson exchange model. Drawing from previous study on the exotic state $T_{cc}$, we only utilize one more parameter to construct the interactions between the channels. Our model successfully reproduces the experimental line shapes of the invariant mass distribution at $\sqrt{s} = 4.23$ and $4.26$ GeV for the three channels. Additionally, the finite-volume energy levels in our model show agreement with current LQCD conclusion. Detailed analysis suggests that the $Z_c(3900)$ peaks in the $\pi J/\psi$ and $\rho \eta_c$ distributions primarily arise from the triangle loop involving the $D_1 \bar{D} D^*$ intermediate system. In the $D\bar{D}^*$ distribution, the threshold peak is generated by the cascade decay mechanism enhanced by a triangle diagram. Moreover, we find a virtual pole located far from the threshold, indicating that $Z_c(3900)$ peaks are not associated with physical pole. We conclude that the $Z_c(3900)$ peaks are predominantly caused by the threshold cusp.
Forward citations
Cited by 5 Pith papers
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$D\bar{D}^\ast$-$\pi J/\psi$ scatterings of coupled channels for $Z_c(3900)$ channel
Coupled-channel Zc(3900) scattering is dominated by short-range quark exchange between D Dbar* and J/psi pi, agreeing with HAL QCD only after a fitted overall reduction beta ~ 0.3.
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Vector charmonium(-like) states in the energy range of 4.1-4.6 GeV
A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.
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Determination of the $Z_c(3900)$ and the $Z_{cs}(3985)$ states from joint analysis of experimental and lattice data
Joint analysis of experimental and lattice data confirms Z_c(3900) and Z_cs(3985) as SU(3) flavor partners with pole masses (3879.6 ± 4.8) MeV and (3976.9 ± 5.1) MeV, half-widths (32.2 ± 4.7) MeV and (28.8 ± 5.9) MeV,...
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Decoding the near-threshold $X_{0,\,1}(4140)$ and $X_{1}(4685)$ states via OZI-suppressed coupled-channel scattering
X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.
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$D\bar{D}^\ast$-$\pi J/\psi$ scatterings of coupled channels for $Z_c(3900)$ channel
Quark-exchange interactions at short distances dominate the coupled-channel scattering amplitudes for Zc(3900) over meson exchanges in an effective hadron-quark model.
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