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

Abstract

In this article, we study the $J^{PC}=0^{++}$ and $2^{++}$ $QQ\bar{Q}\bar{Q}$ tetraquark states with the QCD sum rules, and obtain the predictions $M_{X(cc\bar{c}\bar{c},0^{++})}=5.99\pm 0.08\mathrm{GeV}$, $M_{X(cc\bar{c}\bar{c},2^{++})}=6.09\pm 0.08\mathrm{GeV}$, $M_{X(bb\bar{b}\bar{b},0^{++})}=18.84\pm 0.09\mathrm{GeV}$ and $M_{X(bb\bar{b}\bar{b},2^{++})}=18.85\pm 0.09\mathrm{GeV}$, which can be confronted to the experimental data in the future. Furthermore, we illustrate that the diquark-antidiquark type tetraquark state can be taken as a special superposition of a series of meson-meson pairs and embodies the net effects.

Comments: 18 pages, 17 figures