Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions

Abstract

The baryon Dirac form factor is computed at one-loop order in large-N_c baryon chiral perturbation theory, where N_c is the number of color charges. Loop graphs with octet and decuplet intermediate states are systematically incorporated into the analysis and the effects of the decuplet-octet mass difference are accounted for. There are large-N_c cancellations between different one-loop graphs as a consequence of the large-N_c spin-flavor symmetry of QCD baryons. As a byproduct, the mean-square charge radius is also computed through a detailed numerical analysis. The predictions of large-N_c baryon chiral perturbation theory are in very good agreement both with the expectations from the 1/N_c expansion and with the experimental data.

22 pages, 2 figures, six tables

References in corpus (13)

• Big-Bang Nucleosynthesis
• The nucleon electromagnetic form factors from Lattice QCD
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Chiral extrapolation of octet-baryon charge radii
• Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• 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
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• The baryon vector current in the combined chiral and 1/Nc expansions
• Connected Parts of Decuplet Electromagnetic Properties

Cited by in corpus (7)

• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Production of $\Lambda \Lambda$ and $\overline{\Lambda \text{n}}$ in central Pb+Pb collisions at $\sqrt{s_{NN}}$=2.76 TeV within a covariant coalescence model
• 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