Abstract
In present work, spectrum of the S-wave fully-heavy tetraquark states QQbar{Q}bar{Q} (Q=c,b), i.e., ccbar{c}bar{c}, bbbar{b}bar{b}, ccbar{b}bar{b}/bbbar{c}bar{c}, bcbar{c}bar{c}/ ccbar{b}bar{c}, bbbar{c}bar{b}/cbbar{b}bar{b}, and bcbar{b}bar{c} are systematically investigated within a nonrelativistic constituent quark model, in which the instanton-induced and one-gluon-exchange interactions are taken into account as the residual spin-dependent hyperfine interaction. Our results show that the states with ccbar{c}bar{c} and bbbar{b}bar{b} components could be located around 6500 MeV and 19,200 MeV, respectively. Based on our calculations, the new X(6900) state observed by LHCb may be not a ground ccbar{c}bar{c} tetraquark state, while it could be an orbitally or radially excited state of ccbar{c}bar{c} system. On the other hand, the recently reported X(6600) state by CMS and ATLAS can be explained as a ground ccbar{c}bar{c} tetraquark state with spin-parity J^{PC} =0^{++}.
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