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 ${\mu }_{{\Xi }_{\mathrm{bc}}^{+}}=-0.{50}_{-0.12}^{+0.14}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ , ${\mu }_{{\Xi }_{\mathrm{bc}}^{0}}=0.{39}_{-0.05}^{+0.06}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ and ${\mu }_{{\Omega }_{\mathrm{bc}}^{0}}=0.{38}_{-0.04}^{+0.05}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ , ${\mu }_{{\Xi }_{\mathrm{bc}}^{\prime +}}=0.{57}_{-0.12}^{+0.13}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ , ${\mu }_{{\Xi }_{\mathrm{bc}}^{\prime 0}}=-0.{29}_{-0.06}^{+0.07}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ and ${\mu }_{{\Omega }_{\mathrm{bc}}^{\prime 0}}=-0.{26}_{-0.05}^{+0.06}\phantom{\rule{3.33333pt}{0ex}}{\mu }_{N}$ . Comparing the results obtained on the magnetic dipole moments of the ${\Omega }_{\mathrm{bc}}^{\left(\prime \right)0}$ baryon with those of the ${\Xi }_{\mathrm{bc}}^{\left(\prime \right)0}$ 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.