Mass spectra of $\Xi_{cc}$, $\Xi_{bc}$, $\Omega_{cc}$, and $\Omega_{bc}$ baryons in Regge Phenomenology

TL;DR

This paper uses Regge phenomenology to predict the masses of heavy baryons with two heavy quarks, providing theoretical estimates for both ground and excited states to aid future experimental identification.

Contribution

It introduces a method to derive baryon mass spectra using linear Regge trajectories, including relations between slopes, intercepts, and masses, for heavy baryons with two heavy quarks.

Findings

Predicted masses of $ ext{Xi}_{cc}$, $ ext{Xi}_{bc}$, $ ext{Omega}_{cc}$, and $ ext{Omega}_{bc}$ baryons.

Estimated excited state masses in ($J,M^{2}$) and ($n,M^{2}$) planes.

Compared results with experimental data and other theoretical models.

Abstract

In this article, we study the mass spectra of baryons containing two heavy quarks; charm-charm ($cc$) and bottom-charm ($bc$) with a light quark ($u,d,s$) within the framework of Regge phenomenology. With the assumption of linear Regge trajectories we have derived the relations between slope ratios, intercepts, and baryon masses. Using these relations, the ground state masses of $\Xi_{cc}$, $\Xi_{bc}$, $\Omega_{cc}$, and $\Omega_{bc}$ baryons are obtained. The values of Regge slopes and Regge intercepts are extracted for these baryons to estimate the excited state masses in both the ($J,M^{2}$) and ($n,M^{2}$) planes. Our obtained results are compared with the experimental observations where available and other theoretical predictions, which could be a valuable addition to the interpretations of experimentally unknown heavy baryon spectra.