$N^{\ast }$ states with hidden charm and a three-body nature

Abstract

In this work we study the formation of $N^{\ast }$'s as a consequence of the dynamics involved in the $ND{\bar{D}}^{\ast }-N\bar{D}{D}^{\ast }$ system when the $D{\bar{D}}^{\ast }-\bar{D}{D}^{\ast }$ subsystem generates $X(3872)$ in isospin 0 and $Z_c(3900)$ in isospin 1. States with isospin $I=1/2$ and mass in the energy region $4400-4600$ MeV are found to arise with spin-parity $J^P=1/2^{+}$ and $3/2^{+}$, leading to predictions in this way of the existence of $N^{\ast }$ resonances with hidden charm and a three-body nature. We also discuss the possibility of the existence of ${\Delta }_c$ states, i.e., $\Delta$'s with hidden charm.

Comments: Published version