Baryon magnetic moments in large-N_c chiral perturbation theory

TL;DR

This paper calculates baryon magnetic moments using large-N_c heavy baryon chiral perturbation theory, including one-loop corrections and comparisons with experimental data and conventional methods.

Contribution

It introduces a large-N_c framework with explicit inclusion of octet and decuplet states and one-loop corrections for baryon magnetic moments.

Findings

Expressions match experimental data within uncertainties.

Large-N_c approach provides consistent results with conventional methods.

Inclusion of loop corrections improves theoretical accuracy.

Abstract

The baryon magnetic and transition magnetic moments are computed in heavy baryon chiral perturbation theory in the large-N_c limit, where N_c is the number of colors. One-loop nonanalytic corrections of orders m_q^{1/2} and m_q ln m_q are incorporated into the analysis, where contributions of both intermediate octet and decuplet baryon states are explicitly included. Expressions are obtained in the limit of vanishing baryon mass differences and compared with the current experimental data. Furthermore, a comparison with conventional heavy baryon chiral perturbation theory is carried out for three light quarks flavors and at the physical value N_c=3.