Single-flavor heavy baryons in a strong magnetic field

In this work, we study the properties of single-flavor heavy baryons, ${\mathrm{\Omega }}_{\mathrm{c}\mathrm{c}\mathrm{c}}$ and ${\mathrm{\Omega }}_{\mathrm{b}\mathrm{b}\mathrm{b}}$, in a strong magnetic field. For that sake, we simply treat the baryons as quark-diquark two-body systems, and a systematic formalism is developed to deal with two-body Schr$\ddot{\text{o}}$dinger equations in a magnetic field. It is found that: 1. The orbital properties of ${\mathrm{\Omega }}_{\mathrm{b}\mathrm{b}\mathrm{b}}$ are almost not affected by the magnetic field. 2. ${\mathrm{\Omega }}_{\mathrm{c}\mathrm{c}\mathrm{c}}$ is more tightly bound in the presence of a magnetic field. 3. The magnetic-spin effect dominates over the magnetic-orbital effect. Applying to peripheral heavy ion collisions, ${\mathrm{\Omega }}_{\mathrm{c}\mathrm{c}\mathrm{c}}$ is much better than ${\mathrm{\Omega }}_{\mathrm{b}\mathrm{b}\mathrm{b}}$ to explore the magnetic effect, and the discovery of ${\mathrm{\Omega }}_{\mathrm{c}\mathrm{c}\mathrm{c}}$ could be more promising.