Magnetic and quadrupole moments of the Zc\(4020)+, Zc (4050)+, and Zc (4600)+ tates in the diquark-antidiquark picture

Abstract

The magnetic and quadrupole moments of the Z(c\)(4020)(+), , and states are calculated within the QCD light-cone sum rules. The compact diquark-antidiquark interpolating currents and the distribution amplitudes of the on-shell photon are used to extract the magnetic and quadrupole moments of these states. The magnetic moments are acquired as and for the , , and states, respectively. The magnetic moments evaluated for the , , and states are sufficiently large to be experimentally measurable. The magnetic moment is an excellent platform for studying the internal structure of hadrons governed by the quark-gluon dynamics of QCD because it is the leading-order response of a bound system to a weak external magnetic field. The quadrupole moment results are , , and for the , , and states, respectively. We obtain a non-zero, but small, value for the quadrupole moments of the states, which indicates a non-spherical charge distribution. The nature and internal structure of these states can be elucidated by comparing future experimental data on the magnetic and quadrupole moments of the , , and states with the results of the present study.