Role of the hidden charm $N^*_{c\bar{c}}(4261)$ resonance in the $\pi^- p \to J/\psi n$ reaction

Abstract

We employ an effective Lagrangian approach and isobar model to investigate the role of the $N^*_{c\bar{c}}(4261)$ resonance with hidden charm in the $\pi^- p \to J/\psi n$ reaction. The total and differential cross sections of this reaction are predicted by including contributions from both $N^*_{c\bar{c}}(4261)$ and nucleon pole. It is found that the maximal value of the total cross section can exceed 11 $\mu b$ and a clear $N^*_{c\bar{c}}(4261)$ peak is visible there, well distinguished from background. As center-of-mass energy increases to about 4.8 GeV, the background makes the differential cross section for backward angles rather different. Our theoretical results would provide valuable information for looking for the $N^*_{c\bar{c}}(4261)$ resonance in future experiments.