Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$

TL;DR

This paper calculates the magnetic dipole moments of specific hidden-charm pentaquark states using light-cone QCD sum rules, considering different internal structures, to better understand their substructure and QCD dynamics.

Contribution

It introduces a method to compute magnetic dipole moments of pentaquarks considering diquark-diquark-antiquark and molecular models, providing insights into their internal structure.

Findings

Magnetic dipole moments calculated for $P_c(4440)$, $P_c(4457)$, and $P_{cs}(4459)$.

Electric quadrupole and magnetic octupole moments indicate non-spherical charge distributions.

Results aid in understanding the substructure and QCD dynamics of hidden-charm pentaquarks.

Abstract

In this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$ pentaquark states by considering them as the diquark-diquark-antiquark and molecular pictures with quantum numbers $J^P = \frac{3}{2}^-$, $J^P = \frac{1}{2}^-$ and $J^P = \frac{1}{2}^-$, 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 $P_c(4440)$ pentaquark. These values show a non-spherical charge distribution.