Systematic analysis of single heavy baryons $\Lambda_{Q}$, $\Sigma_{Q}$ and $\Omega_{Q}$

TL;DR

This paper systematically analyzes the mass spectra and root mean square radii of single heavy baryons using the Godfrey-Isgur relativized quark model, providing theoretical predictions consistent with experimental data and constructing Regge trajectories.

Contribution

It offers a comprehensive theoretical study of heavy baryon spectra, including mode dominance and Regge trajectory analysis, advancing understanding of baryon structure and excited states.

Findings

Lambda-mode is energetically favored over rho-mode.

Predicted mass spectra align well with experimental data.

Regge trajectories fit linearly with consistent slopes and intercepts.

Abstract

Motivated by great progresses in experiments in searching for the heavy baryons, we systematically analyze the mass spectra and root mean square radius of single heavy baryons $\Lambda_{Q}$, $\Sigma_{Q}$ and $\Omega_{Q}$. The calculations of the mass spectra are carried out in the frame work of Godfrey-Isgur (GI) relativized quark model, where the baryon is regarded as a three-body system of quarks. Our results show that the mass of single heavy baryon with $\lambda$-mode is lower than those of the $\rho$-mode and $\lambda$-$\rho$ mixing mode, which indicates that the lowest state is dominated by the $\lambda$-mode. Basing on this research, we systematically calculate the mass spectra and the root mean square radius of the baryons with $\lambda$ excited mode. With these predicated mass spectra, the Regge trajectories in the ($J$,$M^{2}$) plane are constructed, and the slopes, intercepts of the Regge trajectories are obtained by linear fitting. It is found that all available experimental data are well reproduced by model predictions and fit nicely to the constructed Regge trajectories.