Nucleon Resonances with Hidden Charm in Coupled-Channel Models

TL;DR

This study compares different coupled-channel models to predict narrow nucleon resonances with hidden charm, finding consistent results across models that suggest these resonances occur around 4.3 to 4.5 GeV.

Contribution

It demonstrates the model dependence of hidden charm nucleon resonance predictions using various relativistic coupled-channel approaches.

Findings

All models predict narrow resonances with hidden charm.

Resonance masses are consistently in the 4.3 to 4.5 GeV range.

Predictions align with previous theoretical estimates.

Abstract

The model dependence of the predictions of nucleon resonances with hidden charm is investigated. We consider several coupled-channel models which are derived from relativistic quantum field theory by using (1) a unitary transformation method, and (2) the three-dimensional reductions of Bethe-Salpeter Equation. With the same vector meson exchange mechanism, we find that all models give very narrow molecular-like nucleon resonances with hidden charm in the mass range of 4.3 GeV $ < M_R < $ 4.5 GeV, in consistent with the previous predictions.