Pentaquark baryons in the SU(3) quark model

We study the SU(3) group structure of pentaquark baryons which are madeof four quarks and one antiquark. The pentaquark baryons form $\mathbf{1}$, $\mathbf{8}$, $\mathbf{10}$, $\overline{\mathbf{10}}$, $\mathbf{27}$, and $\mathbf{35}$ multiplets in the SU(3) quark model. First, the flavor wave functionsof all the pentaquark baryons are constructed in the SU(3) quark model andthen the flavor SU(3) symmetry relations for the interactions of the pentaquarkswith three-quark baryons and pentaquark baryons are obtained. Constructingthe general interactions in SU(3) could be important for understanding thepentaquark baryon properties from reaction mechanisms. We also discuss possiblepentaquarks in $\mathbf{27}$-plet and $\mathbf{35}$-plet and their decay channels that can be used to identify themin future experiments. The mass sum rules for the pentaquark baryons are alsopresented.