Magnetic moment of the $X_Q$ state with $J^{PC}=1^{+\pm }$ in light cone QCD sum rules

The magnetic moments of the recently observed resonance $X_b(5568)$ by D0 Collaboration and its partner with charm quark are calculated in the framework of the light cone QCD sum rules, by assuming that these resonances are represented as tetraquark states with quantum numbers $J^{PC}=1^{+\pm }$. The magnetic moment can play a critical role in the determination of the quantum numbers, as well as give useful information about the inner structure of these mesons.

Figure 1

Dependence of the magnetic moment of the $X_b(5568)$ state with $J^{PC}=1^{++}$ on the Borel parameter $M^2$, at several fixed values of the continuum threshold $s_0$, in units of the nuclear magneton.

Figure 2

The same as Fig. 1, but for the $X_b(5568)$ state with $J^{PC}=1^{+-}$.