Baryon magnetic moments in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking

Abstract

The magnetic and transition magnetic moments of the ground-state baryons are computed in heavy baryon chiral perturbation theory in the large-$N_c$ limit, where N_c is the number of colors. SU(3) symmetry breaking is systematically studied twofold: On the one hand, one-loop nonanalytic corrections of orders m_q^{1/2} and m_q ln m_q are included, with contributions of baryon intermediate states from both flavor octet and flavor decuplet multiplets, assuming degeneracy between baryon states within a given flavor multiplet but nondegeneracy between baryons of different multiplets. On the other hand, perturbative SU(3) symmetry breaking is also analyzed by including all relevant leading-order operators that explicitly break SU(3) at linear order. The resultant expressions are compared with the available experimental data and with other determinations in the context of conventional heavy baryon chiral perturbation theory for three flavors of light quarks and at the physical value $N_c=3$. The agreement reached is quite impressive.

36 pages, 5 figures, 10 table. Substantial additions

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• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Baryon magnetic moments in large-N_c chiral perturbation theory
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
• Electromagnetic Decay of the ${\Sigma }^0(1385)$ to $\Lambda \gamma$
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Baryon Magnetic Moments in the 1/N_c Expansion with Flavor Symmetry Breaking

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• The baryon vector current in the combined chiral and 1/Nc expansions
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• Two-pion exchange as a leading-order contribution in chiral effective field theory
• 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
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• Baryon magnetic moment in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Baryon quadrupole moment in the 1/N(c) expansion of QCD