Eur. Phys. J. C (2025) 85: 1009
https://doi.org/10.1140/epjc/s10052-025-14667-z

Regular Article - Theoretical Physics

Study of the mass spectra of doubly heavy ${\mathrm{\Xi }}_{Q{Q}^{\prime }}$ and ${\mathrm{\Omega }}_{Q{Q}^{\prime }}$ baryons

¹ Department of Mathematics and Physics, Liuzhou Institute of Technology, 545616, Liuzhou, China
² School of Physics and Information Engineering, Guangxi Science and Technology Normal University, 546199, Laibin, China

^a panjisi@gxstnu.edu.cn

Received: 20 May 2025
Accepted: 22 August 2025
Published online: 17 September 2025

Abstract

LHCb Collaboration first observed a doubly charmed baryon ${\mathrm{\Xi }}_{\mathit{cc}}^{++}$ in the ${\mathrm{\Lambda }}_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ decay with a mass of $3621.40\pm 0.72\pm 0.27$ MeV. In this paper, we enumerated the mass spectra of the radial and orbital excited states for the doubly heavy ${\mathrm{\Xi }}_{Q{Q}^{\prime }}$ and ${\mathrm{\Omega }}_{Q{Q}^{\prime }}$ baryons using the Regge trajectory model and the scaling rules. Our studies suggest that ${\mathrm{\Xi }}_{\mathit{cc}}^{++}$ can be grouped into the 1S-wave state with the spin-parity quantum number $J^P=1/2^{+}$. On the other hand, the mass of ${\mathrm{\Xi }}_{\mathit{cc}}$ state with $J^P=3/2^{+}$ is predicted to be $3699.69\pm 4.59$ MeV. We also predict the mass spectra of the unknown ground and excited states for the doubly heavy ${\mathrm{\Xi }}_{Q{Q}^{\prime }}$ and ${\mathrm{\Omega }}_{Q{Q}^{\prime }}$ baryons, which provide useful references for the experimental test in the future.