Is $Z_c(3900)$ a molecular state

Abstract

Assuming the newly observed $Z_c(3900)$ to be a molecular state of $D{\bar{D}}^{\ast }(D^{\ast }\bar{D})$, we calculate the partial widths of $Z_c(3900)\to J/\psi +\pi ;{\psi }^{\prime }+\pi ;{\eta }_c+\rho$ and $D{\bar{D}}^{\ast }$ within the light front model (LFM). $Z_c(3900)\to J/\psi +\pi$ is the channel by which $Z_c(3900)$ was observed, our calculation indicates that it is indeed one of the dominant modes whose width can be in the range of a few MeV depending on the model parameters. Similar to $Z_b$ and $Z_b^{\prime }$, Voloshin suggested that there should be a resonance $Z_c^{\prime }$ at 4030 MeV which can be a molecular state of $D^{\ast }{\bar{D}}^{\ast }$. Then we go on calculating its decay rates to all the aforementioned final states and as well the $D^{\ast }{\bar{D}}^{\ast }$. It is found that if $Z_c(3900)$ is a molecular state of $\frac{1}{\sqrt{2}}(D{\bar{D}}^{\ast }+D^{\ast }\bar{D})$, the partial width of $Z_c(3900)\to D{\bar{D}}^{\ast }$ is rather small, but the rate of $Z_c(3900)\to \psi (2s)\pi$ is even larger than $Z_c(3900)\to J/\psi \pi$. The implications are discussed and it is indicated that with the luminosity of BES and BELLE, the experiments may finally determine if $Z_c(3900)$ is a molecular state or a tetraquark.

17 pages, 6 figures, 3 tables

References in corpus (12)

• Decay constants and radiative decays of heavy mesons in light-front quark model
• Heavy-to-light form factors on the light cone
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Diquarks and Λ_{b}\toΛ_c weak decays
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Is $Z_b(10610)$ a Molecular State?
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• The FSI contribution to the observed $B_s$ decays into $K^{+}{K}^{-}$ and ${\pi }^{+}{K}^{-}$

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