Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory

TL;DR

This paper investigates the impact of spin-3/2 decuplet resonances on baryon magnetic moments within chiral perturbation theory, finding small corrections and improved agreement with experimental data over traditional models.

Contribution

It explicitly includes decuplet resonances in a covariant framework, demonstrating their small but significant effects on baryon magnetic moments and improving upon Coleman-Glashow relations.

Findings

Decuplet contributions are relatively small in covariant approaches.

Inclusion of these contributions improves the description of baryon magnetic moments.

Comparison shows differences between heavy baryon and covariant methods.

Abstract

We extend an earlier study of the baryon magnetic moments in chiral perturbation theory by the explicit inclusion of the spin-3/2 decuplet resonances. We find that the corrections induced by these heavier degrees of freedom are relatively small in a covariant framework where unphysical spin-1/2 modes are removed. Consequently, implementing the leading SU(3)-breaking corrections given by both the baryon and decuplet contributions, we obtain a description of the baryon-octet magnetic moments that is better than the Coleman-Glashow relations. Finally, we discuss the uncertainties and compare between heavy baryon and covariant approaches.