# Spectra of charmed and bottom baryons with hyperfine interaction

## TL;DR

This paper predicts the masses of unobserved bottom baryons and compares the spectra of charmed and bottom baryons using two hyperfine interaction models, highlighting key differences that can be tested experimentally.

## Contribution

It provides the first mass prediction for the unobserved $ ext{Ω}_b^*$ baryon and compares GBE and OGE models, identifying distinct multiplet spin configurations.

## Key findings

- Predicted $ ext{Ω}_b^*$ mass as 6069.2 MeV.
- Identified differences in multiplet spin states between GBE and OGE models.
- Results can be tested in upcoming experiments.

## Abstract

Up to now, the excited charmed and bottom baryon states are still not well studied both experimentally and theoretically. In the present paper, we predict the mass of $\Omega_b^*$, the only $L = 0$ baryon state which has not been observed, to be 6069.2 MeV. The spectra of charmed and bottom baryons with the orbital angular momentum $L = 1$ are studied in two popular constituent quark models, the Goldstone boson exchange (GBE) and the one gluon exchange (OGE) hyperfine interaction models, respectively. Inserting the latest experimental data from the "Review of Particle Physics", we find that in the GBE model, there exist some multiplets ($\Sigma_{c(b)}$, $\Xi'_{c(b)}$ and $\Omega_{c(b)}$) which total spins of three quarks in their lowest energy states are 3/2, but in the OGE model there is no such phenomenon. This is the most important difference between the GBE and OGE models. These results can be tested in the near future. We suggest more efforts to study the excited charmed and bottom baryons both theoretically and experimentally, not only for the abundance of baryon spectra, but also for determining which hyperfine interaction model is realized in nature.