The baryon vector current in the combined chiral and 1/Nc expansions

Abstract

The baryon vector current is computed at one-loop order in large-Nc baryon chiral perturbation theory, where Nc is the number of colors. Loop graphs with octet and decuplet intermediate states are systematically incorporated into the analysis and the effects of the decuplet-octet mass difference and SU(3) flavor symmetry breaking are accounted for. There are large-Nc cancellations between different one-loop graphs as a consequence of the large-Nc spin-flavor symmetry of QCD baryons. The results are compared against the available experimental data through several fits in order to extract information about the unknown parameters. The large-Nc baryon chiral perturbation theory predictions are in very good agreement both with the expectations from the 1/Nc expansion and with the experimental data. The effect of SU(3) flavor symmetry breaking for the |Delta S|=1 vector current form factors f1(0) results in a reduction by a few percent with respect to the corresponding SU(3) symmetric values.

62 pages, one figure

References in corpus (8)

• Lattice study of flavor SU(3) breaking in hyperon beta decay
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ in covariant baryon chiral perturbation theory
• Chiral Corrections to the Hyperon Vector Form Factors
• Hyperon decay form factors in chiral perturbation theory
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Hyperon vector form factor from 2+1 flavor lattice QCD

Cited by in corpus (5)

• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• S-wave baryon nonleptonic decay amplitude in large-N_c chiral perturbation theory
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit