Heavy baryons in the large Nc limit

TL;DR

This paper demonstrates that heavy baryon masses can be accurately estimated in the large Nc limit using a 1/Nc expansion and Hartree approximation, with results aligning well with lattice QCD data.

Contribution

It introduces a quantitative method for estimating heavy baryon masses in the large Nc limit using a 1/Nc expansion and Hartree approximation, incorporating relativistic corrections.

Findings

Good estimates for sub-leading 1/Nc corrections

Agreement with lattice QCD calculations

Effective potential adjusted to lattice data

Abstract

It is shown that in the large Nc limit heavy baryon masses can be estimated quantitatively in a 1/Nc expansion using the Hartree approximation. The results are compared with available lattice calculations for different values of the ratio between the square root of the string tension and the heavy quark mass tension independent of Nc. Using a potential adjusted to agree with the one obtained in lattice QCD, a variational analysis of the ground state spin averaged baryon mass is performed using Gaussian Hartree wave functions. Relativistic corrections through the quark kinetic energy are included. The results provide good estimates for the first sub-leading in 1/Nc corrections.