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

TL;DR

This paper calculates baryon magnetic moments using large-N_c chiral perturbation theory, incorporating flavor symmetry breaking and decuplet-octet mass differences, achieving results that align well with experimental data.

Contribution

It provides a systematic analysis of SU(3) symmetry breaking effects on baryon magnetic moments within the large-N_c framework, including nonanalytic corrections and leading-order symmetry-breaking operators.

Findings

Results agree well with experimental data.

Inclusion of decuplet-octet mass difference improves accuracy.

Systematic treatment of SU(3) breaking enhances theoretical understanding.

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.