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

Abstract

LHCb Collaboration first observed a doubly charmed baryon ${\Xi }_{cc}^{++}$ in the ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ 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 ${\Xi }_{Q{Q}^{\prime }}$ and ${\Omega }_{Q{Q}^{\prime }}$ baryons using the Regge trajectory model and the scaling rules. Our studies suggest that ${\Xi }_{cc}^{++}$ 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 ${\Xi }_{cc}$ 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 ${\Xi }_{Q{Q}^{\prime }}$ and ${\Omega }_{Q{Q}^{\prime }}$ baryons, which provide useful references for the experimental test in the future.

Comments: 32 pages