; Zhang Zong-Ye] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Zhang Ming] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
; [Zhang Hai-Xia] Capital Med Univ, Sch Biomed Engn, Beijing 100069, Peoples R China
The possibility of QQqq heavy-light four-quark bound states has been analyzed by means of the chiral SU(3) quark model, where Q is the heavy quark (c or b) and q is the light quark (u, d, or s). We obtain a bound state for the bbnn configuration with quantum number J(P) = 1(+); I = 0 and for the ccnn (J(P) = 1+, I = 0) configuration, which is not bound but slightly above the D*D* threshold (n is v or d quark). Meanwhile, we also conclude that a weakly bound state in bbnn system can also be found without considering the chiral quark interactions between the two light quarks, yet its binding energy is weaker than that with the chiral quark interactions.