Magnetic moments of the lowest-lying singly heavy baryons

TL;DR

This paper calculates the magnetic moments of lowest-lying singly heavy baryons using a mean-field approach based on large N_c QCD, linking properties of light and heavy baryons through a chiral soliton model.

Contribution

It introduces a novel method to determine heavy baryon magnetic moments by extending light baryon mean-field models to include heavy quarks as static sources.

Findings

Magnetic moments of baryon sextet with spin 3/2 are 1.5 times larger than those with spin 1/2.

Magnetic moments of bottom baryons are identical to those of corresponding charmed baryons.

The approach successfully relates light baryon properties to heavy baryon magnetic moments.

Abstract

A light baryon is viewed as $N_c$ valence quarks bound by meson mean fields in the large $N_c$ limit. In much the same way a singly heavy baryon is regarded as $N_c-1$ valence quarks bound by the same mean fields, which makes it possible to use the properties of light baryons to investigate those of the heavy baryons. A heavy quark being regarded as a static color source in the limit of the infinitely heavy quark mass, the magnetic moments of the heavy baryon are determined entirely by the chiral soliton consisting of a light-quark pair. The magnetic moments of the baryon sextet are obtained by using the parameters fixed in the light-baryon sector. In this mean-field approach, the numerical results of the magnetic moments of the baryon sextet with spin $3/2$ are just 3/2 larger than those with spin $1/2$. The magnetic moments of the bottom baryons are the same as those of the corresponding charmed baryons.