Abstract
In this work, we study systematically the mass splittings of the qqbar{Q}bar{Q} (q=u, d, s and Q=c, b) tetraquark states with the color-magnetic interaction by considering color mixing effects and estimate roughly their masses. We find that the color mixing effect is relatively important for the J^P=0^+ states and possible stable tetraquarks exist in the nnbar{Q}bar{Q} (n=u, d) and nsbar{Q}bar{Q} systems either with J=0 or with J=1. Possible decay patterns of the tetraquarks are briefly discussed.
Highlights
Searching for exotic hadronic states is an interesting research topic full of opportunities and challenges
The reported charmonium-like states like X (3872) [1], Y (3940) [2], Y (4140) [3,4], Z +(4430) [5], and Zc+(4200) [6], the bottomonium-like states Zb(10610) and Zb(10650) [7], and the open-heavy flavor meson X (5568) [8] have stimulated extensive discussions on their exotic assignments
The tetraquark states with the qq Q Qconfiguration have not been reported by experiments
Summary
Searching for exotic hadronic states is an interesting research topic full of opportunities and challenges. An intuitive picture [55] in Lattice QCD is that in a tetraquark with qq Q Qconfiguration, when the two heavy quarks are in a long separation, the gluon exchange force between them is screened by the two light quarks. This system is similar to a hydrogen molecule [41]. The exotic tetraquark state (Q Q − qq) can be generated after pairing with the light component qq. We will again adopt the framework of the simple color-magnetic interaction, it is not a dynamical model.
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