  We construct an effective hadronic model including single heavy baryons
(SHBs) belonging to the $(\mathbf{3},\mathbf{3})$ representation under
$\mbox{SU}(3)_L \times \mbox{SU}(3)_R$ symmetry, respecting the chiral symmetry
and heavy-qaurk spin-flavor symmetry. When the chiral symmetry is spontaneously
broken, the SHBs are divided into the baryons with negative parity of
$\bar{\mathbf 3}$ representation under $\mbox{SU}(3)$ flavor symmetry which is
the chiral partners to the ones with positive parity of ${\mathbf 6}$
representation. We determine the model parameters from the available
experimental data for the masses and strong decay widths of
$\Sigma_c^{(\ast)}$, $\Lambda_c (2595)$, $\Xi_c (2790)$, and $\Xi_c (2815)$.
Then, we predict the masses and strong decay widths of other baryons including
$\Xi_b$ with negative parity. We also study radiative decays of SHBs including
$\Omega_c^\ast$ and $\Omega_b^\ast$ with positive parity.
