  We extend the holographic analysis of light-baryon spectrum in \cite{key-50}
to the case involving the heavy flavors. With the construction of the
Witten-Sakai-Sugimoto model in the D0-D4 background, we use the mechanism
proposed in \cite{key-59,key-60,key-61} by including two light and one heavy
flavor branes, to describe the heavy-light baryons as heavy mesons bound to a
flavor instanton. The background geometry of this model corresponds to an
excited state in the dual field theory with nonzero glue condensate
$\left\langle \mathrm{Tr}\mathcal{F}\wedge\mathcal{F}\right\rangle
=8\pi^{2}N_{c}\tilde{\kappa}$, or equivalently a $\theta$ angle, which is
proportional to the number density of the D0-brane charge. At strongly coupled
limit, this model shows that the heavy meson is always bound in the form of the
zero mode of the flavor instanton in the fundamental representation. We
systematically study the quantization for the effective Lagrangian of
heavy-light baryons by employing the soliton picture, and derive the mass
spectrum of heavy-light baryons in the situation with single- and double-heavy
baryon. We find the difference in the mass spectrum becomes smaller if the
density of D0-brane charge increases and the constraint of stable states of the
heavy-light baryons is $1<b<3$. It indicates that baryon can not stably exist
for sufficiently large density of D0 charge which is in agreement with the
conclusions in the previous study of this model.
