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

Abstract

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

arXiv comment12 pages,1 table and 1 figure