Investigation of the pentaquark resonance in the NK system

A dynamical calculation of pentaquark systems with quark contents uudd (s) over bar is performed in the framework of a quark delocalization color screening model with the help of the resonating group method. The effective potentials between baryon and meson clusters are given, and the possible bound states or resonances are investigated. The single calculations show that the NK* with I = 0, J(P) = 1/2-, Delta K* with I = 1, J(P) = 1/2-, and Delta K* with I = 2, J(P) = 3/2(-) are all bound, but they all turn into scattering states by coupling with the corresponding open channels. A possible resonance state Delta K* with I = 1, J(P) = 5/2(-) is proposed. The mass is around 2110.5 MeV, and the decay modes are NK in D wave and NK pi pi in P waves.