Coulomb gauge model for hidden charm tetraquarks. (English) Zbl 1331.81393
Summary: The spectrum of tetraquark states with hidden charm is studied within an effective Coulomb gauge Hamiltonian approach. Of the four independent color schemes, two are investigated, the \((q\bar c)_1(c\bar q)_1\) singlet-singlet (molecule) and the \((qc)_3(\bar q\bar c)_3\) triplet-triplet (diquark), for selected \(J^{\text{PC}}\) states using a variational method. The predicted masses of triplet-triplet tetraquarks are roughly a GeV heavier than the singlet-singlet states. There is also an interesting flavor dependence with \((q\bar q)_1(c\bar c_1)\) states about half a GeV lighter than \((q\bar c)_1(\bar q c)_1\). The lightest \(1^{++}\) and \(1^{--}\) predictions are in agreement with the observed \(X(3872)\) and \(Y(4008)\) masses suggesting they are molecules with \(\omega J/\psi\) and \(\eta h_c\), rather than \(D^\ast \bar D^\ast \) and \(D\bar D\), type structure, respectively. Similarly, the lightest isovector \(1^{++}\) molecule, having a \(\rho J/\psi\) flavor composition, has mass near the recently observed charged \(Z_c(3900)\) value. These flavor configurations are consistent with observed \(X\), \(Y\) and \(Z_c\) decays to \(\pi\pi J/\psi\).
MSC:
| 81V25 | Other elementary particle theory in quantum theory |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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