TITLE:
Study Pentaquark Pc(4550)+ as a Coupled Molecular State through Spin-Orbit Interaction Using a Two-Channel Method
AUTHORS:
Boubacar Sow, Bassirou Ly, Harouna Wele, Mamoudou Sall, Malick Sow, Roman Planeta, Omar Absa Niasse
KEYWORDS:
Pentaquark, Potentials, Coupling, Radial Wave Functions, Radial Densities, Spin-Orbit Interaction, Coupled Molecular Model
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.3,
July
6,
2026
ABSTRACT: 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.