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

Abstract

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 the interpolating currents with various spin-parity quantum numbers and calculate their two-point correlation functions in the framework of QCD moment sum rule method. Our calculations show that the masses are about $12.3-12.4$ GeV for the positive 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 thus are expected to be stable and narrow.

9 pages, 2 figures

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