Analysis of the $Z_b(10650)$ state based on electromagnetic properties

Abstract

In this study, the magnetic and quadrupole moments of the $Z_b(10650)$ state are determined using the compact diquark-antidiquark interpolating current through the QCD light-cone sum rule. The values that are obtained as a result of the analysis are as follows: $\mu_{Z_b} = 2.35^{+0.34}_{-0.33}~\mu_N$ and $\mathcal{D}_{Z_b} =(1.82^{+0.35}_{-0.31})\times 10^{-2}~\mbox{fm}^2$. Examining the results obtained, it can be seen that the magnetic moments are large enough to be measured experimentally, while the quadrupole moment is obtained as a small but non-zero value, corresponding to a prolate charge distribution. The magnetic moment is the leading-order response of a bound system to a weak external magnetic field. It therefore provides an excellent platform to probe the internal structures of hadrons governed by the quark-gluon dynamics of QCD.