  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.
