European Physical Journal C: Particles and Fields (Jan 2024)
Analysis of the $$Z_b(10650)$$ Z b ( 10650 ) state based on electromagnetic properties
Abstract
Abstract In this study, the magnetic and quadrupole moments of the $$Z_b(10650)$$ 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: $$\mu _{Z_b} = 2.35^{+0.34}_{-0.33}~\mu _N$$ μ Z b = 2 . 35 - 0.33 + 0.34 μ N and $$\mathcal {D}_{Z_b} =(1.82^{+0.35}_{-0.31})\times 10^{-2}~\text{ fm}^2$$ D Z b = ( 1 . 82 - 0.31 + 0.35 ) × 10 - 2 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.