Baryon magnetic moment in large-Nc chiral perturbation theory: for=3

Baryon magnetic moments are computed in baryon chiral perturbation theory in the large-Nc limit at one-loop order, where Nc is the number of color charges. Orders Oom1=2q thorn and Oomq ln mq thorn corrections are both evaluated including all the operator structures that participate at the physical value Nc 1/4 3. The complete expressions for octet and decuplet baryon magnetic moments in addition to octet-octet and decuplet-octet baryon transition moments are thus compared to their available counterparts obtained in heavy baryon chiral perturbation theory for degenerate intermediate baryons in the loops. Theoretical expressions fully agree at the physical values Nc 1/4 3 and Nf 1/4 3 flavors of light quarks. Some numerical evaluations are produced via a least-squares fit to explore the free parameters in the analysis. Results point out the necessity of incorporating the effects of nondegenerate intermediate baryons in the loops for a consistent determination of these free parameters.

Automated summary

This study examines baryon magnetic moments in baryon chiral perturbation theory in the large-Nc limit, comparing different correction terms and operator structures. Numerical evaluations and parameter fits show the importance of considering nondegenerate intermediate baryons for a consistent determination of free parameters in the analysis.