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Axial Vector $cc$ and $bb$ Diquark Masses from QCD Laplace Sum-Rules
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abstract
Constituent mass predictions for axial vector (i.e., $J^P=1^+$) $cc$ and $bb$ colour antitriplet diquarks are generated using QCD Laplace sum-rules. We calculate the diquark correlator within the operator product expansion to NLO, including terms proportional to the four- and six-dimensional gluon and six-dimensional quark condensates. The sum-rules analyses stabilize, and we find that the mass of the $cc$ diquark is 3.51~GeV and the mass of the $bb$ diquark is 8.67~GeV. Using these diquark masses as inputs, we calculate several tetraquark masses within the Type-II diquark-antidiquark tetraquark model.
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Cited by 1 Pith paper
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$X(3872)$ and hidden charmed tetraquarks
A diquark-antidiquark quark model with parameters fitted to X(3872) and Tcc predicts hidden-charm tetraquark masses and tentatively assigns XYZ states.
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