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

TL;DR

This paper predicts the impact of the hidden charm $N^*_{c\bar{c}}(4261)$ resonance on the $\,\pi^- p \to J/\psi n$ reaction, suggesting a detectable peak in cross sections that can guide future experimental searches.

Contribution

It introduces a theoretical prediction of the $N^*_{c\bar{c}}(4261)$ resonance's role in this reaction using an effective Lagrangian and isobar model, highlighting observable signatures.

Findings

Total cross section can exceed 11 μb with a clear resonance peak.

Differential cross sections vary notably at backward angles near 4.8 GeV.

Results aid future experimental detection of the $N^*_{c\bar{c}}(4261)$ resonance.

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.