Magnetic dipole moments of bottom-charm baryons in light-cone QCD

The magnetic dipole moments of the doubly-heavy baryons include significant data on their inner structure and geometric shape. Moreover, understanding the electromagnetic properties of doubly-heavy baryons is the key to confinement and heavy flavor effects. Inspired by this, we extract the magnetic dipole moments of the spin-$\frac{1}{2}$ bottom-charm baryons utilizing the QCD light-cone sum rule with considering the distribution amplitudes of the photon.The magnetic dipole moments are obtained as $\mu_{\Xi_{bc}^{+}} = -0.50^{+0.14}_{-0.12}~\mu_{N}$, $\mu_{\Xi_{bc}^{0}} = 0.39^{+0.06}_{-0.05}~\mu_{N}$ and $\mu_{\Omega_{bc}^{0}} = 0.38^{+0.05}_{-0.04} ~\mu_{N}$, $\mu_{\Xi_{bc}^{\prime +}} = 0.57^{+0.13}_{-0.12}~\mu_{N}$, $\mu_{\Xi_{bc}^{\prime 0}} =-0.29^{+0.07}_{-0.06}~\mu_{N}$ and $\mu_{\Omega_{bc}^{\prime 0}} = -0.26^{+0.06}_{-0.05}~\mu_{N}$. Comparing the results obtained on the magnetic dipole moments of the $\Omega^{(\prime)0}_{bc}$ baryon with those of the $\Xi^{(\prime)0}_{bc}$ baryon, the $U$-symmetry is minimally broken. We have compared our results with other theoretical predictions that could be a useful complementary tool for the interpretation of the doubly-heavy baryon sector, and we observe that they are not in mutual agreement with each other.