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.
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