Abstract
The large number of \$B\_c\$ mesons observed by LHCb suggests a sizable cross
section for producing doubly-heavy baryons in the same experiment. Motivated by
this, we estimate masses of the doubly-heavy \$J=1/2\$ baryons \$\Xi\_cc\$,
\$\Xi\_bb\$, and \$\Xi\_bc\$, and their \$J=3/2\$ hyperfine partners, using a
method which accurately predicts the masses of ground-state baryons with a
single heavy quark. We obtain \$M(\Xi\_cc) = 3627 12\$ MeV, \$M(\Xi\_cc^*)=
3690 12\$ MeV, \$M(\Xi\_bb) = 10162 12\$ MeV, \$M(\Xi\_bb^*)= 10184 \pm
12\$ MeV, \$M(\Xi\_bc) = 6914 13\$ MeV, \$M(\Xi'\_bc) = 6933 12\$ MeV, and
\$M(\Xi\_bc^*) = 6969 14\$ MeV. As a byproduct, we estimate the hyperfine
splitting between \$B\_c^*\$ and \$B\_c\$ mesons to be \$68 8\$ MeV. We discuss
P-wave excitations, production mechanisms, decay modes, lifetimes, and
prospects for detection of the doubly heavy baryons.
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