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.

arXiv comment62 pages, one figure

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• The 1/N Expansion for Baryons
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• Semileptonic Hyperon Decays
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• SU(3) symmetry breaking in hyperon semileptonic decays
• Flavor Symmetry Breaking in the 1/N Expansion
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• Baryon magnetic moments in large-N_c chiral perturbation theory
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• Hyperon vector form factor from 2+1 flavor lattice QCD
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Cited by in corpus (10)

• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• The SU(3) Vector Currents in BChPT x 1/Nc
• S-wave baryon nonleptonic decay amplitude in large-N_c chiral perturbation theory
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Sum rules for leading vector form factors in hyperon semileptonic decays