Hadronic molecular interpretation of the Pcc̅ (4312)+ state using a coupled-channel S-matrix approach

Abstract

Pentaquark-like signals, named as P_cc̅(4312)⁺ states, are recent experimental discoveries that challenge the conventional quark model. Their interpretation, particularly that of the P_cc̅(4312)⁺, is an ongoing problem in hadron spectroscopy. Due to its proximity to the Σ_cD̅ threshold, a hadronic molecule is a natural assumption, rather than a compact multiquark state. In this paper, we utilize the coupled-channel S-matrix formalism to analyze the scattering amplitudes of the J/Ψ and Σ_cD̅ channels. By fitting the model to the LHCb experimental data, we explore both bound and virtual state interpretations of P_cc̅(4312)⁺. Our results support past consensus in the literature regarding the virtual Σ_cD̅ nature of this signal.