Speaker
Description
We present a systematic study of low-energy interactions between charmed baryons and mesons, combining heavy-quark spin symmetry (HQSS) with the large-$N_c$ operator expansion. This approach reduces the 26 independent chiral SU(3) couplings to just five parameters, enabling predictive power across multiple reaction channels. We demonstrate how these constraints apply to the hidden-charm pentaquark candidates observed at LHCb, particularly those interpreted as $D^{(*)}\Sigma_c$ molecular states. The formalism fixes coupling relations among HQSS partner channels, allowing us to predict missing states and quantify mass splittings from subleading $1/m_Q$ and $1/N_c$ corrections. These results provide model-independent benchmarks for future experimental searches and lattice QCD calculations, and offer a unified framework to interpret the spectroscopy of exotic hadrons.
