Eur. Phys. J. C (2023) 83: 887
https://doi.org/10.1140/epjc/s10052-023-12055-z

Regular Article - Theoretical Physics

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

Health Services Vocational School of Higher Education, Istanbul Aydin University, Sefakoy-Kucukcekmece, 34295, Istanbul, Türkiye

^a ulasozdem@aydin.edu.tr

Received: 20 June 2023
Accepted: 19 September 2023
Published online: 3 October 2023

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