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We compute the masses of the singly and doubly charmed baryons in full QCDusing the relativistic Fermilab action for the charm quark. For the lightquarks we use domain-wall fermions in the valence sector and improvedKogut-Susskind sea quarks. We use the low-lying charmonium spectrum to tune ourheavy-quark action and as a guide to understanding the discretization errorsassociated with the heavy quark. Our results are in good agreement withexperiment within our systematics. For the \Xi_{cc}, we find theisospin-averaged mass to be M_{\Xi_{cc}} = 3665 +/- 17 +/- 14 +0 -78 MeV; thethree given uncertainties are statistical, systematic and an estimate oflattice discretization errors, respectively. In addition, we predict the masssplitting of the (isospin-averaged) spin-1/2 \Omega_{cc} with the \Xi_{cc} tobe M_{\Omega_{cc}} - M_{\Xi_{cc}} = 98 +/- 9 +/- 22 +/- 13 MeV (in this masssplitting, the leading discretization errors are also suppressed by SU(3)symmetry). Combining this splitting with our determination of M_{\Xi_{cc}}leads to our prediction of the spin-1/2 \Omega_{cc} mass, M_{\Omega_{cc}} =3763 +/- 19 +/- 26 +13 -79 MeV.

Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD