Analysis of the vector and axialvector $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules

In this article, we construct the axialvector-diquark-axialvector-antidiquark type currents to study both the vector and axialvector $QQ\bar{Q}\bar{Q}$ tetraquark states with the QCD sum rules, and obtain the masses $M_{Y(cc\bar{c}\bar{c},1^{+-})}=6.05\pm 0.08\mathrm{G}\mathrm{e}\mathrm{V}$, $M_{Y(cc\bar{c}\bar{c},1^{--})}=6.11\pm 0.08\mathrm{G}\mathrm{e}\mathrm{V}$, $M_{Y(bb\bar{b}\bar{b},1^{+-})}=18.84\pm 0.09\mathrm{G}\mathrm{e}\mathrm{V}$, $M_{Y(bb\bar{b}\bar{b},1^{--})}=18.89\pm 0.09\mathrm{G}\mathrm{e}\mathrm{V}$. The vector tetraquark states lie $40\mathrm{M}\mathrm{e}\mathrm{V}$ above the corresponding centroids of the $0^{++}$, $1^{+-}$ and $2^{++}$ tetraquark states, which is a typical feature of the vector tetraquark states consist of four heavy quarks.