N∗ states with hidden charm and a three-body nature

In this work we study the formation of N ∗ ’s as a consequence of the dynamics involved in the N D D ¯ ∗ - N D ¯ D ∗ system when the D D ¯ ∗ - D ¯ D ∗ 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 + , thus leading to predictions of the existence of N ∗ resonances with hidden charm and a three-body nature. We also discuss the possibility of the existence of Δ c states, i.e., Δ ’s with hidden charm.