Abstract
In the framework of an extended chromomagnetic model, we systematically study the mass spectrum of the $S$-wave $qQ\bar{Q}\bar{Q}$ tetraquarks. Their mass spectra are mainly determined by the color interaction. For the $qc\bar{c}\bar{c}$, $qb\bar{c}\bar{c}$ and $qb\bar{b}\bar{b}$ tetraquarks, the color interaction favors the color-sextet $\ket{(qQ)^{6_{c}}(\bar{Q}\bar{Q})^{\bar{6}_{c}}}$ configuration over the color-triplet $\ket{(qQ)^{\bar{3}_{c}}(\bar{Q}\bar{Q})^{3_{c}}}$ one. But for the $qc\bar{b}\bar{b}$ tetraquarks, the color-triplet configuration is favored. We find no stable states which lie below the thresholds of two pseudoscalar mesons. The lowest axial-vector states with the $qQ\bar{b}\bar{b}$ flavor configuration may be narrow. They lie just above the thresholds of two pseudoscalar mesons, but cannot decay into these channels because of the conservation of the angular momentum and parity.
Highlights
Searching for the exotic states is an important and challenging topic in hadron physics
We found that for the ground states, the color sextet component is more important than the color triplet one, which is consistent with the dynamical calculations [74,75]
We assume that the SU(2) flavor symmetry is exact and n 1⁄4 fu; dg
Summary
Searching for the exotic states is an important and challenging topic in hadron physics. The charged charmoniumlike and bottomoniumlike states like Zcð3900Þ [9,10], Zcð3885Þ [11,12], Zcð4020Þ [13], Zcð4025Þ [14], Zcsð3985Þ [15], Zcsð4000Þ and Zcsð4020Þ [16], Zbð10610Þ and Zbð10650Þ [17] contain at least four quarks They are candidates of exotic structures like the compact tetraquark [18,19,20,21,22], the molecule [23,24,25,26,27,28,29], the hybrid meson [30,31], and so on. The LHCb Collaboration observed an narrow state in the D0D0πþ mass spectrum just below the DÃþD0 threshold [47,48]. This is the first doubly charmed tetraquark.
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