Magnetic Moments of Heavy Baryons

TL;DR

This paper calculates the first non-trivial chiral corrections to the magnetic moments of heavy baryons using Heavy Hadron Chiral Perturbation Theory, revealing how these moments depend on heavy quark mass and providing relations among different hadrons.

Contribution

It introduces the calculation of chiral corrections to heavy baryon magnetic moments at specific orders, revising previous results for T-baryons and discussing renormalization and relations.

Findings

Chiral corrections are of order O(1/(m_Q Λ_χ^2)) for T-baryons.

Corrections for S^(*)-baryons are of order O(1/Λ_χ^2).

Relations among magnetic moments of different heavy baryons are established.

Abstract

First non-trivial chiral corrections to the magnetic moments of triplet (T) and sextet (S^(*)) heavy baryons are calculated using Heavy Hadron Chiral Perturbation Theory. Since magnetic moments of the T-hadrons vanish in the limit of infinite heavy quark mass (m_Q->infinity), these corrections occur at order O(1/(m_Q \Lambda_\chi^2)) for T-baryons while for S^(*)-baryons they are of order O(1/\Lambda_\chi^2). The renormalization of the chiral loops is discussed and relations among the magnetic moments of different hadrons are provided. Previous results for T-baryons are revised.