Four-quark Bound States in Chiral SU(3) Quark Model

Abstract

The possibility of $QQ\bar{q}\bar{q}$ 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 $bb\bar{n}\bar{n}$ configuration with quantum number $J^P=1^{+},I=0$ and for the $cc\bar{n}\bar{n}$ ($J^P=1^{+},I=0$) configuration which is not bound but slightly above the $D^{\ast }{D}^{\ast }$ threshold (n is $u$ or $d$ quark). Meanwhile, we also conclude that a weakly bound state in $bb\bar{n}\bar{n}$ 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.

11 pages, 7 tables

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