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We have studied the masse spectra for the$cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states with quantum numbers$J^{P}=0^{\pm},1^{\pm}$, and $2^{+}$. We systematically construct theinterpolating currents with various spin-parity quantum numbers and calculatetheir two-point correlation functions in the framework of QCD moment sum rulemethod. Our calculations show that the masses are about $12.3-12.4$ GeV for thepositive parity $cc\bar{b}\bar{b}$ tetraquark ground states with $J^{P}=0^+,1^+, 2^+$, while $12.8-13.1$ GeV for the negative parity channels with$J^{P}=0^-, 1^-$. The mass predictions for the positive parity$cc\bar{b}\bar{b}$ ground states are lower than the $B_{c}B_{c}$ threshold,implying that these tetraquarks can only decay via weak interaction and thusare expected to be stable and narrow.

Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states