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: ${\mu }_{Z_b}=2.35_{-0.33}^{+0.34}{\mu }_N$ and ${\mathcal{D}}_{Z_b}=(1.82_{-0.31}^{+0.35})\times 10^{-2}\text{mbox}{fm}^2$. 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.

Comments: 10 pages, 1 figure, version accepted by the European Physical Journal C