Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model

TL;DR

This paper demonstrates that a flux tube-based quark model and the $1/N_c$ and $1/m_Q$ expansion methods are compatible in predicting the masses of charm and bottom baryons with one heavy and two light quarks.

Contribution

It extends the comparison between quark models and $1/N_c$ expansion to heavy-light baryons, establishing their compatibility in this sector.

Findings

Good agreement between models for light baryons.

Compatibility also holds for heavy-light baryons.

Supports unified understanding of baryon masses.

Abstract

A good agreement between a flux tube-based quark model of light baryons (strange and nonstrange) and the $1/N_c$ expansion mass formula has been found in previous studies. In the present work a larger connection is established between the quark model and the $1/N_c$ and $1/m_Q$ expansion method by extending the previous procedure to baryons made of one heavy and two light quarks. The compatibility between both approaches is shown to hold in this sector too.