Single-flavor heavy baryons in a strong magnetic field

Abstract

In this work, we study the properties of single-flavor heavy baryons, ${\Omega }_{\mathrm{ccc}}$ and ${\Omega }_{\mathrm{bbb}}$, 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 ${\Omega }_{\mathrm{bbb}}$ are almost not affected by the magnetic field. 2. ${\Omega }_{\mathrm{ccc}}$ 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, ${\Omega }_{\mathrm{ccc}}$ is much better than ${\Omega }_{\mathrm{bbb}}$ to explore the magnetic effect, and the discovery of ${\Omega }_{\mathrm{ccc}}$ could be more promising.