The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory

Abstract

Baryon masses at varying values of Nc and light quark masses are studied with Lattice QCD and the results are analyzed in a low energy effective theory based on a combined framework of the 1/Nc and Heavy Baryon Chiral Perturbation Theory expansions. Lattice QCD results for Nc = 3, 5 and 7 obtained in quenched calculations, as well as results for unquenched calculations for Nc = 3, are used for the analysis. The results are consistent with a previous analysis of Nc = 3 Lattice QCD results, and in addition permit the determination of sub-leading in 1/Nc effects in the spin-flavor singlet component of the baryon masses as well as in the hyperfine splittings.

28 pages, 7 figures

References in corpus (7)

• SU(N) gauge theories at large N
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Glueball masses in the large N limit
• On the running of the bare coupling in SU(N) lattice gauge theories
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
• Mesons at large Nc from lattice QCD
• The vector meson mass in the large N limit of QCD

Cited by in corpus (8)

• Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• The Large $N_c$ limit of QCD on the lattice
• Baryon resonances in large $N_c$ QCD
• The baryon vector current in the combined chiral and 1/Nc expansions
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$