Study Pentaquark Pc(4550)⁺ as a Coupled Molecular State through Spin-Orbit Interaction Using a Two-Channel Method

The LHCb people saw this pentaquark thing, and it’s made people rethink how hadrons work, since it doesn’t fit the usual three-quark idea. Before, most theories said it was just one hadronic molecule, mostly made of Σ c D ¯ * . But that’s too simple, because it misses how it interacts with other things nearby and doesn’t consider short-range stuff. So, we thought about the pentaquark Pc(4550)+ as like, a linked-up molecular state because of spin-orbit stuff. We looked into the pentaquark Pc(4550)+ using a linked-channel thingy, with spin-orbit stuff included. We made a model with two linked hadronic channels, Σ c + D ¯ 0 and Σ c + D ¯ *0 they interact with Yukawa-type potentials. We solved some Schrödinger equations and checked out binding energies, spatial densities, and radial wave functions. What we found says that Pc(4550)+ is probably a quasi-bound molecular state near the D ¯ * Σ c threshold.