Systematical investigation on the stability of doubly heavy tetraquark states

Abstract

We systematically investigate the stability of the doubly heavy tetraquark states $[QQ][\bar{q}\bar{q}]$ ($Q=c$ and $b$, $q=u$, $d$ and $s$) within the framework of the color flux-tube model involving a multibody confinement potential, $\sigma$-exchange, one-gluon-exchange and one-Goldstone-boson-exchange interactions. Our numerical analysis indicates that the states $[bb][\bar{u}\bar{d}]$ with $01^{+}$ and $[bb][\bar{u}\bar{s}]$ with $\frac{1}{2}{1}^{+}$ are the most promising stable states against strong interactions. The states $[cc][\bar{u}\bar{d}]$ with $01^{+}$, $[bc][\bar{u}\bar{d}]$ with $00^{+}$, $01^{+}$, and $12^{+}$, and $[bb][\bar{u}\bar{d}]$ with $01^{-}$ and $12^{+}$ as stable states are also predicted in the color flux-tube model. The dynamical mechanism producing those stable doubly heavy tetraquark states are discussed in the color flux-tube model.

Comments: 10 pages, 9 tables