Magnetic dipole moments of the hidden-charm pentaquark states: Pc(4440), Pc(4457) and Pcs(4459)

Abstract

In this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the Pc(4440), Pc(4457) and Pcs(4459) pentaquark states by considering them as the diquark-diquark-antiquark and molecular pictures with quantum numbers JP=32-, JP=12- and JP=12-, respectively. In the analyses, we use the diquark-diquark-antiquark and molecular form of interpolating currents, and photon distribution amplitudes to obtain the magnetic dipole moment of pentaquark states. Theoretical examinations on magnetic dipole moments of the hidden-charm pentaquark states, are essential as their results can help us better figure out their substructure and the dynamics of the QCD as the theory of the strong interaction. As a by product, we extract the electric quadrupole and magnetic octupole moments of the Pc(4440) pentaquark. These values show a non-spherical charge distribution.