Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$

Abstract

The baryon axial vector current is computed in heavy baryon chiral perturbation theory in the large-$N_c$ limit, where $N_c$ is the number of color charges. One-loop nonanalytic corrections of order $m_q\ln m_q$ are comprised in the analysis, with contributions of both intermediate octet and decuplet baryon states, to all orders in the $1/N_c$ expansion of the axial vector current relevant for $N_c=3$. Theoretical expressions are obtained in the limit of vanishing decuplet-octet mass difference only, which allows one to carry out a full comparison with conventional heavy baryon chiral perturbation theory results for three flavors of light quarks and at the physical value $N_c=3$. Both approaches perfectly agree to all orders considered. Furthermore, a numerical analysis via a least-squares fit is performed in order to extract the values of the free parameters of the theory, using the experimental data available. The predictions of formalism are remarkable.

arXiv comment48 pages, 1 figure, 8 tables

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Cited by in corpus (4)

• Investigations on the flavor-dependent axial charges of the octet baryons
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Baryon magnetic moment in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops