Mass spectra of double-bottom baryons

TL;DR

This paper systematically studies the mass spectra of double bottom baryons using a relativistic quark model and Gaussian basis functions, providing predictions and insights into their structure and Regge trajectories.

Contribution

It introduces a comprehensive relativistic quark model analysis of double bottom baryons, including mass spectra, structural properties, and Regge trajectories, with new mass predictions.

Findings

Mass spectra of $ ho$-mode double bottom baryons are obtained.

Regge trajectories in the $(J,M^{2})$ plane are constructed.

Predicted ground state masses and shell structures are provided.

Abstract

Based on the relativistic quark model and the infinitesimally shifted Gaussian basis function method, we investigate the mass spectra of double bottom baryons systematically. In the $\rho$-mode which appears lower in energy than the other excited modes, we obtain the allowed quantum states and perform a systematic study of the mass spectra of the $\Xi_{bb}$ and $\Omega_{bb}$ families. We analyze the root mean square radii and quark radial probability density distributions to deeply understand the structure of the heavy baryons. Meanwhile, the mass spectra allow us to successfully construct the Regge trajectories in the $(J,M^{2})$ plane. We also predict the masses of the ground states of double bottom baryons and discuss the differences between the structures of our spectra and those from other theoretical methods. At last, the shell structure of the double bottom baryon spectra is shown, from which one could get a bird's-eye view of the mass spectra.