# Triply-heavy baryons in a constituent quark model

## TL;DR

This paper uses a constituent quark model to predict masses of triply-heavy baryons containing charm or bottom quarks, providing theoretical data to guide future experimental searches due to limited current data.

## Contribution

It applies a successful quark model to compute ground and excited states of triply-heavy baryons without modifying existing parameters, offering new theoretical predictions.

## Key findings

- Predicted masses for various triply-heavy baryon states.
- General agreement with other models on ground state masses.
- Discrepancies among models for excited states.

## Abstract

A constituent quark model, which has recently been successfully applied to the study of heavy quarkonium properties such as its spectrum but also a diverse array of observables related with their electromagnetic, strong and weak decays and reactions, is used herein to compute ground- and excited-state masses of $QQQ$-baryons containing either $c$- or $b$-quarks. Considering the lack of experimental information about the spectra of triply-heavy baryons, we believe that our computation could help on finding new states, since it is expected that phenomenological quark models describe triply-heavy baryons to a similar degree of accuracy as heavy quarkonia. The quark model parameters previously used to describe $c\bar c$ and $b\bar b$ properties have not been modified for this analysis. The non-relativistic three-body bound-state problem is solved by means of the Gau\ss ian expansion method which provides enough accuracy and simplifies the subsequent evaluation of the matrix elements. Several low-lying states with quantum numbers $J^P=\frac{1}{2}^{\pm}$, $\frac{3}{2}^{\pm}$, $\frac{5}{2}^{\pm}$ and $\frac{7}{2}^+$ are reported. We compare our results with those predicted by many other theoretical formalisms. There is a general trend of agreement about the mass of the ground state in each sector of triply-heavy baryons; however, the situation is more puzzling for the excited states and thus appropriate comments on the most relevant features of our comparison are given.