Study of the mass spectra of doubly heavy $\Xi_{QQ^{\prime}}$ and $\Omega_{QQ^{\prime}}$ baryons

TL;DR

This paper predicts the mass spectra of doubly heavy baryons using the Regge trajectory model, providing theoretical references for future experimental searches and identifying the quantum states of observed particles.

Contribution

The study applies the Regge trajectory model and scaling rules to enumerate mass spectra of doubly heavy baryons, including predictions for unknown states and quantum number assignments.

Findings

Identified the $ ext{Xi}^{++}_{cc}$ as a $1S$-wave state with $J^{P} = 1/2^{+}$.

Predicted the mass of the $ ext{Xi}_{cc}$ state with $J^{P} = 3/2^{+}$ to be approximately 3699.69 MeV.

Provided theoretical mass spectra for unobserved doubly heavy baryon states for experimental reference.

Abstract

LHCb Collaboration first observed a doubly charmed baryon $\Xi^{++}_{cc}$ in the $\Lambda^{+}_{c}K^{-}\pi^{+}\pi^{+}$ decay with a mass of $3621.40\pm0.72\pm0.27$ MeV. In this paper, we enumerated the mass spectra of the radial and orbital excited states for the doubly heavy $\Xi_{QQ^{\prime}}$ and $\Omega_{QQ^{\prime}}$ 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 $\Xi_{QQ^{\prime}}$ and $\Omega_{QQ^{\prime}}$ baryons, which provide useful references for the experimental test in the future.