Masses of doubly heavy tetraquark states with isospin = $\frac{1}{2}$ and 1 and spin-parity $1^{+\pm}$

Abstract

We apply the method of QCD sum rules to study the doubly heavy tetraquark states($QQ\bar{q}\bar{q}$) with the isospin $I = \frac{1}{2}$ and 1 and spin-parity $J^{PC}=1^{++}$ and $J^{PC}=1^{+-}$ by constructing all the $QQ\bar{q}\,\bar{q}$ tetraquark currents. The masses of the doubly bottom and charm tetraquark states are computed in the context of the two-point sum rule method incorporating the quark, gluon and mixed condensates up to dimension $10$. By the way, weak decay widths of the doubly bottom tetraquark $bb\bar{u}\bar{d}$ are also given.Comment: 12 pages, 15 figures. This article is created by revtex