Heavy baryons in the large Nc limit

It is shown that in the large N-c limit heavy baryon masses can be estimated quantitatively in a 1/N-c 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 root sigma/m(Q). These estimates implement important 1/N-c corrections and assume a string tension independent of N-c. 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/N-c corrections.Open Access funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics.This work was supported in part by DOE Contract No. DE-AC05-06OR23177 under which JSA operates the Thomas Jefferson National Acceler- ator Facility (J.L.G.), by the National Science Foundation through grant PHY-1307413 (I.P.F. and J.L.G.) and the Spanish Mineco (grant FIS2014-59386-P) and Junta de Andalucía (grant FQM225) (C.A.T. and E.R.A.). C.A.T. acknowledges a contract from the CPAN