Hidden strange pentaquark states in constituent quark models

In the framework of the chiral quark model, we investigate the hidden strange pentaquark system of the $N\varphi$ state with quantum numbers of $I{J}^P=\frac{1}{2}{\frac{3}{2}}^{-}$. The results show that the $N\varphi$ state can be bound through the interaction of the $\sigma$ meson exchange plus the effect of channel coupling, which means that the effect of channel coupling has an influence on the existence of this bound state.

Figure 1

The contributions of various terms of the Hamiltonian to the effective potentials.

Figure 2

The relative motion wave function of the $N\varphi$ state in three quark models.