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 ${\mu }_{{\mathrm{\Xi }}_{bc}^{+}}=-0.50_{-0.12}^{+0.14}{\mu }_N$, ${\mu }_{{\mathrm{\Xi }}_{bc}^0}=0.39_{-0.05}^{+0.06}{\mu }_N$ and ${\mu }_{{\mathrm{\Omega }}_{bc}^0}=0.38_{-0.04}^{+0.05}{\mu }_N$, ${\mu }_{{\mathrm{\Xi }}_{bc}^{\mathrm{\prime }+}}=0.57_{-0.12}^{+0.13}{\mu }_N$, ${\mu }_{{\mathrm{\Xi }}_{bc}^{\mathrm{\prime }0}}=-0.29_{-0.06}^{+0.07}{\mu }_N$ and ${\mu }_{{\mathrm{\Omega }}_{bc}^{\mathrm{\prime }0}}=-0.26_{-0.05}^{+0.06}{\mu }_N$. Comparing the results obtained on the magnetic dipole moments of the ${\mathrm{\Omega }}_{bc}^{(\mathrm{\prime })0}$ baryon with those of the ${\mathrm{\Xi }}_{bc}^{(\mathrm{\prime })0}$ 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.