Towards an understanding of heavy baryon spectroscopy

TL;DR

This paper uses a three-quark Faddeev approach to predict bottom baryon spectra, aiding experimental searches and constraining phenomenological models, while also providing insights into charmed and doubly heavy baryons.

Contribution

It presents a comprehensive, exact solution to the three-quark problem for baryons, offering predictions for bottom, charmed, and doubly heavy baryon spectra and quantum number assignments.

Findings

Predicted masses for bottom baryons help discriminate between models.

Identified quantum numbers for recently observed charmed baryons.

Provided a framework for understanding heavy baryon excitations.

Abstract

The recent observation at CDF and D0 of $\Sigma_b$, $\Sigma^*_b$ and $\Xi_b$ baryons opens the door to the advent of new states in the bottom baryon sector. The states measured provide sufficient constraints to fix the parameters of phenomenological models. One may therefore consistently predict the full bottom baryon spectra. For this purpose we have solved exactly the three-quark problem by means of the Faddeev method in momentum space. We consider our guidance may help experimentalists in the search for new bottom baryons and their findings will help in constraining further the phenomenological models. We identify particular states whose masses may allow to discriminate between the dynamics for the light-quark pairs predicted by different phenomenological models. Within the same framework we also present results for charmed, doubly charmed, and doubly bottom baryons. Our results provide a restricted possible assignment of quantum numbers to recently reported charmed baryon states. Some of them are perfectly described by $D-$wave excitations with $J^P=5/2^+$, as the $\Lambda_c (2880)$, $\Xi_c(3055)$, and $\Xi_c(3123)$.